Which of the following is equation of the line through (2,3) and (-1,-12)

Answers

Answer 1

Answer:

 y = 5x - 7

Step-by-step explanation:

(x₁ , y₁) = ( 2 , 3)    & (x₂ , y₂) = (-1 , -12)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\frac{-12-2}{-1-2}\\\\=\frac{-15}{-3}\\\\=5[/tex]

m = 5 & (x₁ , y₁) = ( 2 , 3)

Equation of the line:  y - y₁ = m(x -x₁)

y - 3 = 5(x - 2)

y - 3 =5x - 2*5

y - 3 = 5x - 10

    y = 5x - 10 + 3

   y = 5x - 7


Related Questions

Is 40.8 less than or greater than 0.71

Answers

Answer: greater than

Step-by-step explanation:

40.8 is greater than 0.71

Invert and multiply to divide 2/3 divided by 1/4

Answers

Answer:

17

Step-by-step explanation:

Tom was measuring a piece of wood to build a shelf for his daughter. The shelf is 36 inches long. He tells his daughter, Hadlee that the shelf is 3 ft. long. Hadlee argue with her father and says, “No, the shelf is 36 inches long, not 3 ft.” Who is correct? Justify your thinking.

Answers

they are the same length,because 3 fr is the same as 12 inches times 3 equals 36 inches

X-8=37 – 8(x + 9)
Plssss help meee

Answers

Answer:

x=-3

Step-by-step explanation:

Select three ratios that are equivalent to 11:1. Choose 3 answers: A 1:11 B 22:2 55 : 5 9:99 110: 10

Answers

Answer:

22:2   55:5   110:10

Step-by-step explanation:

A penguin walks 10 feet in 6 seconds. At this speed:

How far does the penguin walk in 45 seconds?

How long does it take the penguin to walk 45 feet?

Explain or show your reasoning.
PLS KEEP THIS SIMPLE LIKE A 6TH GRADE ANSWER I JUST WANT TO KNOW THIS

Answers

Answer: The penguin will walk 75.15 feet in 45 sec

Answer:653745

Step-by-step explanation:

Myrna had 36 pieces of fried
chicken and 48 spring rolls. She
prepared identical plates of fried
chicken and spring rolls without any
food left over. What was the greatest
number of plates Myrna prepared?
A. 12 plates
B. 9 plates
C. 15 plates
D. 18 plates

Answers

it’s 12 just subtract?



Jalia has $500. She spends $220 on a pair of Yeezys for Christmas. Later she realizes that
she need to make more money to go shopping for clothes. She made a profit of $300
babysitting. She then spends $200 on clothes. On Christmas day, she realize she haven't
bought her siblings anything, and decides to split the money amongst her four siblings. How
much money does each sibling get?

Answers

Answer:

145

Step-by-step explanation:

500-220=280

280+300=580

580÷4=145

How many cups of potatoes are needed if 1 cup of diced ham is used?

Answers

Answer:

i think 7 but i am not 100% sure

Step-by-step explanation:

45= 5x-10 =?

no need for explanation I just need something quickly

Answers

X=11 there you go hun

Answer:

11

Step-by-step explanation:

5x-10=45

+10. +10

5x= 10+45

5x= 55

x= 11

I need help solving these ​

Answers

Answer:

m∠1 = 140°

m∠2 = 40°

m∠3 = 65°

m∠4 = 75°

m∠5 = 115°

Step-by-step explanation:

We will use a few different methods to find the angles:

A triangle's angles will always add up to 180°. With this information, we can find the last angle of the triangle on the left:

∠1+∠2+∠3=180°

60+80+∠3=180°

Let x represent the value of ∠3. Simplify addition:

[tex]140+x=180[/tex]

Subtract 140 from both sides:

[tex]140-140+x=180-140\\\\x=40[/tex]

The unknown angle is 40°. With this information, we can find the

m∠1:

m∠1 and the 40° we just found are supplementary angles, which means that their measures will add up to a total of 180°.

∠1+∠2=180°

Insert the value we know:

40°+∠2=180

Let x represent the value of ∠2. Subtract 40 from both sides:

[tex]40-40+x=180-40\\\\x=140[/tex]

There fore:

m∠1=140°

We can use this same rule to find the m∠2:

∠1+∠2=180°

or, we can use the vertical angles rule. The first angle we found (Which is 40°) is a vertical angle to m∠2, so they have the same value. Therefore:

m∠2=40°

To find m∠3, we need to find the other missing angle in the middle triangle. Use the supplementary angle rule, since the missing angle is supplementary to the angle that is 105°:

∠1+∠2=180°

Insert the known values, substituting x for the unknown angle:

[tex]x+105=180[/tex]

Subtract 105 from both sides:

[tex]x+105-105=180-105\\\\x=75[/tex]

The unknown angle is 75°. Now find m∠3, knowing that triangles add up to 180°:

m∠2+m∠3+75=180

Insert the m∠2, make m∠3 be x:

[tex]40+x+75=180[/tex]

Simplify addition:

[tex]115+x=180[/tex]

Subtract 115 from both sides:

[tex]115-115+x=180-115\\\\x=65[/tex]

Therefore:

m∠3=65°

To find m∠4, use the vertical angle rule.

Therefore:

m∠4=75°

To find m∠5, we could find all triangle measures of the least triangle, or we can use the following:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

The m∠5 is the exterior angle, and the opposite interior angles are 75° and 40°:

[tex]75+40=115[/tex]

Therefore:

m∠5=115°

:Done

Question 16
A shipping box, in the shape of a cube, has a volume of 2.300 cubic inches. Estimate the length of the side of the shipping box to the nearest tenth

Answers

Answer:

2.300cb squred divide by 4 ull get .575

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

First off, we know that volume = LxWxH

because this is a cube we know that L=W=H because all the sides are the same.

Now we set up the equation

[tex]x^{3} =2.3[/tex]

We can simplify by saying

[tex]\sqrt[3]{2.4}[/tex]

or we can put it in a calculator and get

1.320006...

to the nearest tenth

1.3

Which statement describes the graph of this function? h(x) = 4x^2 - 100/8x - 20?

[tex]h(x) = \frac{4x^2 - 100}{8x - 20}[/tex]

A. There is a horizontal asymptote at y = 5.
B. There is a horizontal asymptote at y = 1.
C. The graph has an oblique asymptote.
D. There is a horizontal asymptote at [tex]y = \frac{1}{2}[/tex].

Answers

Answer:

ANSWER

Step-by-step explanation:

There is a horizontal asymptote at y=5

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The asymptote of the function is:

The vertical asymptote of the function lies at y=20/8.There exist no horizontal asymptote of the function.There exist an oblique asymptote of the function at y=(x/2)+(5/4).

Hence, the correct option is C.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

True or false: in the expression 6^8 there are 8 factors of 6

Answers

Answer:

true

Step-by-step explanation:

True but do you need to explain your answer?

Help me help me plz

Answers

Answer:

??????????????????????

Michelle has 3 3/8 cups of cereal. A serving of cereal is 3/4 cup. How many servings of cereal does Michelle have ?

Answers

Answer:

4.5

Step-by-step explanation:

(3 3/8) / (3/4)= 4.5

The amount of servings of cereal that Michelle have is 4 1/2 servings of cereal

From the question, we are told that a serving of cereal is 3/4 cup, this can be expressed as:

1 serving of cereal = 3/4 cups

If Michelle has 3 3/8 cups of cereal, this can be expressed as;

x = 3 3/8 cups of cereals

Divide both expressions

1/x = 3/4 * 8/27

1/x = 6/27

x = 27/6

x = 9/2

Hence the amount of servings of cereal that Michelle have is 4 1/2 servings of cereal

Learn more on ratios here: https://brainly.com/question/3796978

write the following as an algebraic equation. Use x as the unknov
and use a sum.
The sum of a number and 38.9 is 45.5

Answers

Answer:

The unknown value of x is 6.6

Step-by-step explanation:

38.9 + x = 45.5

x = 45.5 - 38.9

x = 6.6

What is the quadrant in -294 degrees

Answers

Answer:

In the first quadrant

Step-by-step explanation:

Its between -270 and -360

Solve the inequality p - 9 is less than -9

Answers

answer:

p is less than 18, so p<18

explanation:

you add 9 to both sides, then you get p<18

what is the distance between -2 and 6?

Answers

Answer:

8units

Step-by-step explanation:

Brenda makes wooden pumpkin coasters for the fall. She cuts small round posts into ⅔ -inch-thick disks of wood. How many coasters can Brenda make from a post that measures ½ foot in length?

Answers

The answer is 9. 1/2 foot is 6 inches, 6 inches divided by 2/3 inch is 9

there are 30 candies in a bag and you ate 9 of them what percentage did you eat?

Answers

Answer:

2.7% i think sorry

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

total candies=30

candies i ate=9

now,

% of candies i eat=9×100%/30

=30%

Use the following rules to graph and by label the ordered pairs on a coordinate grid with at least 4 points on the coordinate plane:



1. Maddy wrote a pattern for the
x coordinates starting at 3 and followed the rule “add 2.”



2. Ted wrote a pattern for all the y coordinates starting at 0 and followed the rule “add 4.”

Answers

Maddy's rule for obtaining the x-coordinate values and Ted's rule for

obtaining the y-coordinate values combine to form a linear graph.

Reasons:

Please find attached the graph with labelled ordered pairs created by Maddy's and Ted's rules.Method by which the graph is formed

The given rules used to graph the equations are;

Maddy's rule  for the x-coordinate values = x + 2, where, x ≥ 3

Ted's rule for the y-coordinate values = y + 4, where, y ≥ 0

Therefore, the following table of values can be generated;

[tex]\begin{tabular}{|c|c|}x&y\\3&0\\5&4\\7&8\\9&12\\11&16\end{array}\right][/tex]

The first difference of the y-values is constant and the difference in the x-

values is also a constant, therefore, the data represents a linear function

and the graph is also linear.

Using the above table of values obtained from Maddy's and Ted's rules, the

graph of the ordered pair can be plotted by entering the values in MS

Excel spread sheet and using the insert Scatter plot function.

Learn more about linear functions here:

https://brainly.com/question/14323743

what is 95+138? i need help

Answers

Answer:

The answer is 233

hope this helps you

Under a dilation of a scale factor of 1/2 centered at (7,5), SM becomes HG. Determine the coordinates of HG

Answers

(3.5, 2.5)
i multiplied the original coordinates by the scale factor to get the coordinates of hg. hope this helps :)

Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero? –$16 –$8 $8 $16

Answers

Answer:

The answer is $16

Step-by-step explanation:

Venessa owed her friend $24. She paid back $8.

Account status = 8 - 24 = -$16

The amount remaining to pay to make account zero 24 - 8 = $16.

Answer:

The answer is D.) 16

Step-by-step explanation:

To solve this problem you are gonna do subtraction. What you are going to subtract is 24 - 8, because Vanessa took $24.00 from her friend and they want to you figure out how much she needs to pay back and in math when you are trying to figure out problems like this then you would use subtraction.

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I'm so sorry if I did not make any seance but I hope you pass! :)


Find the missing angle ACB.
A. 90°
B. 70°
C. 45°
D. 40
E. 20°

Answers

Answer:

The answer would be D)

Step-by-step explanation:

The angles of a triangle ALWAYS add up to 180. 70+ 70= 140

140+40= 180

7y +2-2y-9 x+12-x Simplified

Answers

Answer:

- 10 + 5y + 14

Step-by-step explanation:

supermarket, but the cost is a little more at $2.10 per pound. You spend about $3 on gas every time you go to the specialty store. How do you know if you are getting enough of the jelly beans to make the trip worthwhile? What two equations would you use to determine your break-even point? (Let C stand for the total cost and x represent the amount of jelly beans.) a. C = 3.00 + 1.30 x. C = 2.10 x b. C = 3.00 + 2.10 x. C = 1.30 x c. C = 2.10 x + 1.30 x. C = 3.00 d. C = 3.10 x. C = 3.00

Answers

Answer: The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed. Pls mark as  brainliest.

Step-by-step explanation:

Im the only one who help you so help me.

Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Explain how you know.​

Answers

Answer:

No, it does not. See below.

Step-by-step explanation:

Lets find out the linear equation that passes trough (-2, 0) and (0, -6).

We know every linear equation has the form: y = mx + b

Where m is the slope on the curve and b the independent term.

We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:

m = (y2-y1)/(x2-x1)

In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:

m = [-6 - 0] / [0 - (-2)]

m = -6/2 = -3

So, we have a downward linear function with slope -3, this is:

y =  -3x + b

Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):

0 = -3(-2) + b

0 = 6 + b

Subtracting 6 in both sides:

-6 = b

So, our independent term is -6 and the function is:

y = -3x - 6

Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:

y = -3(2) - 6 = = -6 - 6 = - 12

So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)

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