The estimated regression equation for these data is ŷ = 0.69x + 2.15
Developing an estimated regression equation for these dataFrom the question, we have the following parameters that can be used in our computation:
Observation 1 2 3 4 5 6 7 8 9
xi 2 3 4 5 7 7 7 8 9
yi 4 5 4 6 4 6 9 6 11
Using a graphing tool, we have the following calculation summary
Sum of X = 52Sum of Y = 55Mean X = 5.7778Mean Y = 6.1111Sum of squares (SSX) = 45.5556Sum of products (SP) = 31.2222Regression Equation: ŷ = bX + a
Where
b = SP/SSX = 31.22/45.56 = 0.68537
a = MY - bMX = 6.11 - (0.69*5.78) = 2.15122
So, we have
ŷ = 0.68537x + 2.15122
Rounding the numerical values to two decimal places, we have
ŷ = 0.69x + 2.15
Hence, the estimated regression equation for these data is ŷ = 0.69x + 2.15
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Jeff opens his desert shop and sold pies, cakes, and cookies in it. He sold pes Monday through Friday.
He sold cakes Monday through Saturday. He sold Cookies Monday through Sunday. He had the following number of sales for each day. Using an ANOVA analysis, state if any of the deserts is significantly more popular.
Pies Cakes Cookies
Monday 5 7 6
Tuesday 2 4 7
Wednesday 7 9 5
Thursday 4 5 7
Friday 3 2 9
Saturday 2 7
Sunday 3
3. Compute the appropriate statistic.
4. For the desert table above, what is the critical value at 95% and is the observed statistically significant?
The requreid we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.
To conduct an ANOVA analysis, we need to calculate the mean and variance for each group, as well as the overall mean and variance.
Pies: Mean = (5+2+7+4+3)/5 = 4.2
Variance =[tex]((5-4.2)^2 + (2-4.2)^2 + (7-4.2)^2 + (4-4.2)^2 + (3-4.2)^2)/4[/tex]
= 3.7
Similarly,
Cakes:
Mean = 5, Variance = 6.4
Cookies:
Mean = 6, Variance = 8.8
Overall mean = 5.1, Overall variance =5.1
To calculate the F-statistic, we need to use the formula,
F = (between-group variance)/(within-group variance).
Between-group variance [tex]= ((4.2-5.1)^2 + (5-5.1)^2 + (6-5.1)^2)*5 + ((5-5.1)^2 + (5-5.1)^2)*6 + ((6-5.1)^2)*7[/tex] =5.3
Within-group variance = (3.7+6.4+8.8)/14 = 0.8
F = 5.3/0.8 = 6.6
The appropriate statistic for an ANOVA analysis is the F-statistic. we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.
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Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hour less than the other's. If they
meet in 4 hours, what is the rate of the slower car?
Do not do any rounding.
The rate of the slower car is 77km/hr
What is velocity?Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.
velocity = displacement/time
displacement = velocity × time
represent the faster car by v1 and the slower car by v2
v1 = v2+16
V2 = v1-16
Total displacement = 680km
680 =( v1+V2)t
680 = (v1+V2)4
v1+v2 = 680/4
v2+16+v2 = 170
2v2 = 170-16
2v2 = 154
v2 = 154/2
v2 = 77km/hr
therefore the rate of the slower car is 77km/hr
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Write the vector v in terms of i and j whose magnitude and direction angle are given.
||v|| = 5/6, theta = 113 deg
y=970(0.51)^x percentage of change
Answer:
The equation Y=970(0.51)^x represents the percentage of change over time. As x increases, Y decreases due to the exponentiation of 0.51. This means that the percentage of change is decreasing over time.
For example, if we plug in x=1, the equation outputs Y=495.7, which represents a 49.43% decrease from the initial value of 970. As x continues to increase, the percentage of change decreases, approaching 0% but never quite reaching it.
Overall, this equation can be used to model a variety of situations where there is a gradual decrease in the percentage of change over time.
The average individual in a country earns an annual salary of $82,000, of which
$32,800 is spent on housing, $14,760 on food, $14,760 on transportation, and $19,680
on other goods and services. Suppose the government in this country mandates that
all salaries and the prices of all goods and services be reduced by 40 percent.
Instructions: Enter your answers as a whole number.
a. How much does the average individual now earn?
$
b. How much does the average individual now spend on housing, food, transportation,
and other goods and services?
Housing: $
Food: $
Transportation: $
Other goods and services: $
What happened to the average individual's real salary?
Answer:
a) $49,200
b)
Housing: $19,680
Food: $8,856
Transportation: $8,856
Other goods and services: $11,808
c) Average real salary is unchanged at $0
Step-by-step explanation:
Since salaries and expenses are reduced by 40% if any of the amounts was originally $x, the reduction is 40% of $x = 0.4x (1% = 1/100)
Therefore reduced value = original value - reduction amount
= x - 0.4x
= 0.6x
Applying this to the various dollar values provided will help us answer the questions
Real income before reduction
= Salary - expenses
= 82,000 - (32,800 + 14,760 + 14,760 + 19,680)
= 0
So the average individual real income is $0
a) How much does the average individual now earn?
New salary = 0.6 x old salary
= 0.6 x $82,000
= $49,200
b) How much does the average individual now spend on housing, food, transportation, and other goods and services?
Housing: 0.6 x $32,800 = $19,680Food: 0.6 x $14,760 = $8,856Transportation: 0.6 x $14,760 = $8,856Other goods and services: 0.6 x $19,680 = $11,808Total expenses after reduction = $19,680 + $8,856 + $8,856 + $11,808
= $49,200
Real income after reduction of salary and expenses
= $49,200 - $49,200 = 0
So the average salary stays the same at $0
You start at (-1, 2). You move down 6 units and right 5 units. Where do you end?
You would end at the point (4, -4).
We have,
Starting at (-1, 2), moving down 6 units would take you to the point (-1, 2-6) = (-1, -4).
From there,
Moving right 5 units would take you to the point (-1+5, -4) = (4, -4).
Therefore,
You would end at the point (4, -4).
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What will a down payment on a loan accomplish?
A down payment on a loan is a payment made upfront by the borrower to reduce the amount of the loan.
The purpose of a down payment is to lower the overall cost of the loan and to reduce the lender's risk.
When you make a down payment on a loan, the amount you owe on the loan is reduced by that amount.
A down payment also reduces the lender's risk.
When you make a down payment, you are showing the lender that you are committed to repaying the loan.
If you default on the loan, the lender will be able to recoup some of their losses by selling the collateral (the car, in this example) that was used to secure the loan.
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Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
adrián is walking 45 feet to school. He walks at a constant rate of 5 feet every 4 seconds. At that speed how many seconds does it take him to reach the school.
The number of second for Adrian to reach the school is A = 36 seconds
Given data ,
Let the speed of Adrian be 5 feet every 4 seconds
So , S = ( 5/4 ) feet/seconds
And , the distance to the school = 45 feer
So , the time taken by Adrian to reach the school is T
where T = distance / speed
T = 45 / ( 5/4 )
T = ( 45 / 5 ) x 4
T = 9 x 4 seconds
T = 36 seconds
Hence , the time is 36 seconds
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Which ones right ????
FIRST TO ANSWE GETS BRAINLIEST AND 5 STARS HELP NOW PLEASE
Chang has 2 shirts a white one and a black one. He also has 2 pairs of parts, one blue and one tan What is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show all
your work AND write your answer as a fraction, decimal, and percent.
Answer: The probability that Chang gets dressed with a white shirt and tan pants is 25%.
Step-by-step explanation:Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:
Each shirt = 50% chance Each pants = 50% chance 0.50 x 0.50 = X0.25 = X Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.
Need the correct answer asap!!
The measures of angles 1 and 2 are:
m∠2 = 135°m∠1 = 45°How to find the measures of angles 1 and 2?The two lines that go upwards are parallel lines, that means that angles 2 and the 135° one are alternate inverse angles, then these have the same measure:
m∠2 = 135°
And angle 2 and 1 are adjacent, then their measures add up to 180°, this means that:
135° + m∠1 = 180°
Solving that equation for the measure of angle 1 we will get:
m∠1 = 180° - 135° = 45°
These are the measures of the two angles we wanted.
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Harriet has 6 crates of watermelons. Each crate alone weighs 17.8 pounds and contains between 32 and 36 watermelons. The weight of each watermelon is between 3.9 and 4.3 pounds. Give the range of weights that one crate could weight.
The range of weights that one crate could weigh is between 127.6 and 154.8 pounds.
Harriet has 6 crates of watermelons.
Each crate alone weighs 17.8 pounds and contains between 32 and 36 watermelons.
The weight of each watermelon is between 3.9 and 4.3 pounds.
One crate of watermelons could weigh between 127.6 pounds
(6 crates x 32 watermelons x 3.9 pounds per watermelon + 17.8 pounds crate weight) and
154.8 pounds (6 crates x 36 watermelons x 4.3 pounds per watermelon + 17.8 pounds crate weight).
Therefore, the range of weights that one crate could weigh is between 127.6 and 154.8 pounds.
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Write the equation of the exponential function that has a y-intercept of 3 and a growth factor of 1.25.
The equation of the exponential function that has a y-intercept of 3 and a growth factor of 1.25 will be y = a(1.25)ˣ + 3.
Given that:
y-intercept, c = 3
Growth factor, r = 1.25
The exponent is given as,
y = a(b)ˣ + c ...1
Put b = 1.25 and c = 3 in equation (1), then
y = a(1.25)ˣ + 3
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Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}[/tex]
[tex]B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}[/tex]
well, not quite.
P is in the shape of a circle.
Q is in the shape of a quarter circle of radius 20 cm.
·
The area of Q is 4 times the area of P.
Work out the radius of P.
You must show all your working.
20 cm
+
Note: Make your final answer clear by writing r = ...
Total marks: 3
The radius of the circle P is 20 centimetres.
How to find radius of a circle?P is in the shape of a circle. Q is in the shape of a quarter circle of radius 20 cm.
The area of Q is 4 times the area of P. Therefore, the radius of circle P can be found as follows:
area of circle Q = πr² / 4
area of circle Q = 3.14 × 20² ÷ 4
area of circle Q = 3.14 × 400 / 4
area of circle Q = 314 cm²
Therefore,
Hence,
area of circle p = πr²
4(314) = 3.14 × r²
r² = 1256 / 3.14
r = √400
r = 20 cm
Therefore, the radius of the circle P is 20 cm.
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Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. 3a2 + 2a - 7 into 27a4 + 18a2 - 2a + 42
The solution to the division is 9a² - 6a + 31 + [(-106a + 259)/(3a² + 2a - 7)].
We have to divide, 27 + 0a³ + 18a² - 2a + 42 by 3a² + 2a - 7.
So,
9a² - 6a + 31
3a² + 2a - 7 ║27 + 0a³ + 18a² - 2a + 42
-(27 + 18a³ - 63a²)
_________________
- 18a³ + 81a² - 2a
-(-18a³ - 12a² + 42a)
____________________
93a² - 44a + 42
-(93a² + 62a - 217)
-106a +259
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You spin the spinner twice.
6789
What is the probability of landing on a 9 and then landing on a number less than 8?
Write your answer as a percentage.
The probability of landing on a 9 and then landing on a number less than 8 is 1/8
Given that a spinner, spined twice, we need to find the probability of landing on a 9 and then landing on a number less than 8,
So,
Probability = favorable outcomes / total outcomes
Therefore,
Favorable outcomes = 1 and 2
Total outcomes = 4
So,
P(landing on a 9 and then landing on a number less than 8) = 1/4 x 2/4
= 1/4 x 1/2 = 1/8
Hence, the probability of landing on a 9 and then landing on a number less than 8 is 1/8
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3. Ally has a piece of string that is 6 yards 2 feet long. How many inches of string does she have?
Which expression is equivalent to 10 + 22? A. 2(5 + 22) B. 2(5 + 11) C. 5(2 + 22) D. 5(2 + 4)
Answer: B
Step-by-step explanation:
10 + 22 can be simplified by adding 10 and 22 to get:
10 + 22 = 32
Now, let's check each expression to see which one is equivalent to 10 + 22 = 32:
A. 2(5 + 22) = 2(27) = 54
B. 2(5 + 11) = 2(16) = 32 (This expression is equivalent to 10 + 12)
C. 5(2 + 22) = 5(24) = 120
D. 5(2 + 4) = 5(6) = 30
So, the expression that is equivalent to 10 + 22 is B. 2(5 + 11) = 32.
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years; the standard deviation is 1.7 years. Use the empirical rule (68−95−99.7%) to estimate the probability of a gorilla living between 14.3 and 19.4 years.
The probability that a gorilla in this particular zoo will live between 14.3 and 19.4 years is 86% (or 0.86)
Understanding Normal DistributionFrom the Empirical Rule, for a Normal Distribution, approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean
To estimate the probability of a gorilla living between 14.3 and 19.4 years, we first need to standardize these values by subtracting the mean and dividing by the standard deviation:
For 14.3 years: (14.3 - 16) / 1.7 = -1.18
For 19.4 years: (19.4 - 16) / 1.7 = 2
Now we can use a standard normal distribution table to find the probabilities associated with these z-scores:
The probability of a gorilla living less than 14.3 years is approximately the same as the probability of a standard normal variable being less than -1.18, which is about 0.12.
The probability of a gorilla living less than 19.4 years is approximately the same as the probability of a standard normal variable being less than 2, which is about 0.98.
Therefore, the probability of a gorilla living between 14.3 and 19.4 years is approximately the difference between these two probabilities: 0.98 - 0.12 = 0.86.
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g(x) = f(x) h(x), f(2)= 6, h(2) = 2, h' (2) = 15, and f'(2) = 6. Find g' (2).
g(x)=f(x)=h(x)
18
Select the correct answer.
Consider this quadratic equation.
x²+1=2x-3
Which expression correctly sets up the quadratic formula?
O A. -(-2) ± √(-2)² - 4(1)(4)
2(1)
B. -(-2) + √(-2)²-(1)(4)
2(2)
-2 ± √(-2)²-4(1)(4)
2(1)
O C.
O D.
-2 ± √√(2)² - 4(1)(-2)
2(1)
An expression that correctly sets up the quadratic formula include the following: C. [tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(1)(4)}}{2(1)}[/tex]
What is a quadratic equation?In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Mathematically, the quadratic formula is represented by this mathematical equation:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
For the given quadratic equation x² + 1 =2x-3, we have:
x² - 2x + 1 + 3 =0
x² - 2x + 4 =0
[tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(1)(4)}}{2(1)}[/tex]
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can someone please answer 2v+7=3 in TWO steps?
Answer:
v = -4
Step-by-step explanation:
2v + 7 = 3
Subtract 7 on both sides
2v = -4
Divided by 2 both sides
v = -4
solve the set question
this question answer is 180
yes, the answer is actually 180
I don’t understand help!
To measure the bearing from A to B you can use the compass with the ruler.
To measure the bearing from B to A, place the thread from B to A, then place the compass and take you reading
What is the bearing?To degree the bearing from A to B, take after these steps:
Draw a straight line between focuses A and B.Place yourself so lightly that you are facing point B from point A.Then make use of a compass to decide the point between true north and the line between point A and B.Lastly the bearing from A to B is the point measured clockwise from genuine north to the line between focuses A and B, communicated in degrees. Do the same for bearing from B to A
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Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. Group of answer choices q minus 22 = 24: Add 22 to both sides. The answer is 46. q + 22 = 24: Subtract 22 from both sides. The answer is 2. q minus 24 = 22: Add 24 to both sides. The answer is 46. 24 + q = 22: Subtract 22 from both sides. The answer is 2.
The solution to the problem is that the number is 46.
In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The equation that can be used to solve the problem is q - 22 = 24.
To solve this equation, we need to isolate q on one side of the equation.
q - 22 = 24
Adding 22 to both sides, we get:
q - 22 + 22 = 24 + 22
Simplifying, we get:
q = 46
Therefore, the solution to the problem is that the number is 46.
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Find all the complex cube roots of w = 125(cos 210 deg + i * sin 210 deg) Write the roots in polar form with 0 in degrees.
Z1=
Z2=
Z3=
The three complex cube roots of w are:
Z1 = 5(cos(70°) + i * sin(70°))
Z2 = 5(cos(190°) + i * sin(190°))
Z3 = 5(cos(310°) + i * sin(310°))
Given that;
To find all the complex cube roots of ,
w = 125(cos 210 deg + i sin 210 deg)
Now, We know that;
x = r cos θ
y = r sin θ
let's find the modulus of w:
|w| = sqrt(125)
= 125
Now let's find the argument of w:
arg(w) = 210°
Next, let's find the principal cube root of w. We can do this by taking the cube root of the modulus and dividing the argument by 3:
w^(1/3) = 125^(1/3) (cos(210°)/3 + i sin(210°)/3)
Let's simplify this expression:
w^(1/3) = 5(cos(70°) + i * sin(70°))
Now let's find the other two cube roots. We can do this by adding multiples of 120° to the argument and dividing by 3:
w^(1/3) = 5(cos(70°) + i * sin(70°))
w^(1/3) = 5(cos(190°) + i * sin(190°))
w^(1/3) = 5(cos(310°) + i * sin(310°))
So the three complex cube roots of w are:
w^(1/3) = 5(cos(70°) + i * sin(70°))
w^(1/3) = 5(cos(190°) + i * sin(190°))
w^(1/3) = 5(cos(310°) + i * sin(310°))
Thus, The three complex cube roots of w are:
Z1 = 5(cos(70°) + i * sin(70°))
Z2 = 5(cos(190°) + i * sin(190°))
Z3 = 5(cos(310°) + i * sin(310°))
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Will mark brainliest.
The value of z in the intersected secant and tangent is 57 degrees.
How to find angles between secant and tangent intersection?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
A secant touches two point on a circle while a tangent touches one point on a circle.
Therefore,
z = 1 / 2 (156 - 42)
z = 1 / 2 (114)
z = 114 / 2
z = 57 degrees
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Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
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