Write an equation of the line (2,-1) and parallel to the line y=-3x+8
An equation of the parallel line is y= ?
Answers
Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
A line being parallel to another means it has the same slope, so the slope of the new line is also -3.
Slope-intercept form is:
[tex]y=mx+b[/tex]
where m is the slope, b is the y-intercept, and (x, y) is any point on the line. There are 4 variables in this equation, and we're already given 3 of them (slope, x, and y), so we can solve for the 1 unknown variable (y-intercept).
Plug in all known values:
[tex]\rightarrow y=mx+b\\\rightarrow(-1)=(-3)(2)+b[/tex]
Now, you can solve for b.
[tex]\rightarrow-1=(-3\times2)+b\\\rightarrow-1=-6+b\\\rightarrow5=b\\\rightarrow b = 5[/tex]
Finally, with both the slope and y-intercept, you can write the equation of the line:
[tex]y=-3x+5[/tex]
Related Questions
What is the slope-intercept form of the equation of the line with slope 4 and a y-intercept of -3 ?
y=−3x+4
−3x+4x=1
4x−3y=1
y=4x−3
Answers
Answer:
Answer: y = 4x - 3
Step-by-step explanation:
» A line has a general equation as below:
[tex]{ \boxed{ \rm{y = mx + c}}}[/tex]
m → the slope, m = 4c → the y-intercept, c = -3» Let's feed in the data;
[tex]{ \tt{y = 4x + ( - 3)}} \\ { \underline{ \underline{ \tt{ \: y = 4x - 3 \: }}}}[/tex]
NEED HELP ASAP! PLEASE1
Determine the equation of the perpendicular bisector of the segment with endpoints (–5, 3) and (5, 5).
A.) y= 1/5x+4
B.) y=-5x
C.)y=-5x+4
D.)1/5x
Answers
Answer:
C. y = -5x + 4
Step-by-step explanation:
segment with endpoints (–5, 3) and (5, 5)
Slope m = (y2-y1)/(x2-x1)
m = (5 - 3)/(5 - -5) = 2/10 = 1/5
Perpendicular lines have slopes that are negative reciprocals of one another. So slope of bisector is -5
Bisector intersects the segment at midpoints so
x = (Xa + Xb)/2 = (-5 + 5)/2 = 0/2 = 0
y = (Ya + Yb)/2 = (3 + 5)/2 = 8/2 = 4
so midpoint is (0,4)
using slope = -5
y = mx + b
4 = -5(0) + b
b = 4
then y = -5x + 4
Find the percent of discount. Round to the nearest whole percent.
regular price: $120
sale price: $105.50
Answers
Answer:
Step-by-step explanation:
105.5x100/120=87.91so 100-88 = 22%
Two consecutive odd number have a product of 35. What are the numbers?
Answers
you’re welcome
Use the Side-Splitter Theorem to find x given that NQ is parallel to OP.
Answers
Answer:
x = 7
Step-by-step explanation:
[tex]\frac{20}{30} =\frac{14}{14+x}[/tex]
[tex](20)(14+x)=(30)(14)[/tex]
[tex]280+20x=420[/tex]
[tex]20x=420-280[/tex]
[tex]20x=140[/tex]
[tex]x=140/20=7[/tex]
Hope this helps
Help plz man suiiiiii
Answers
Answer:
0.2
Number 2 dont know
.50
.70
.75
Step-by-step explanation:
the jeffson family has 5 whole pizza to be shared among 7 people each person in the jeffson family will receive pizza
Answers
Answer:
5/7
Step-by-step explanation:
The total of pizzas is divided among 7 people so each person will receive 5/7 pizza
Which function represents exponential decay?
o
Of(x) =
f(x) =
px) -1
o f(x) = 4(-1)
MX) = 4(1)
o
0
Answers
anyhow, in short what we have in the exponential functions is a initial value, the number outside the parentheses and the rate of change, the number inside the parentheses.
so the short version of it is, if the rate, the number in the parentheses is larger than 1, we have a Growth function, if the rate is less than 1, we have Decay, [tex]4\left( -\frac{2}{3} \right)^x[/tex] doesn't work because it alternates from negative to positive depending on the value of "x" whether is odd or even, so the only one that fits the bill is [tex]4\left( \frac{2}{3} \right)^x[/tex], notice, 2/3 is less than 1. thus Decay.
10.
If the graph of the equationy=xis translated up 6 units, what is the equation of the new line?
x
AO x=-6
B.Oy=x-6
c. Ox=6y
D.Oy=x+6
Answers
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill. If the dendist finds n cavities, what will the cost of the visit be? Write your answer as an expression.
Answers
Answer:
=$50+$100*n
Answer:
solution given:
The price of a visit to the dentist =$50. additional charge = $100 per cavity If the dentist finds n cavities, the cost of the visit be=$50+$100*n
as n is multiplied to cavity found and $50 is added as visit price
Answer:
$50 + $100n
Step-by-step explanation:
Base Price: $50
Rate Price: $100 per cavity (n)
The price would be $50 + $100 for each of the n number of cavities
$50 + $100(n)
$100n + $50
[tex]\boxed{$50 + $100n}[/tex]
-Chetan K
hi I’ll give ! brainliesst to anyone who helps and explains
Answers
Answer:
volume of prism is b×h=5×12= 60cm( cube)
surface is p×l+b×h=13×28+60=424cm( square)
Find an equation of the line parallel to y=2x-4 and that passes through the point (1,-2)
Answers
A hockey player passes a puck to his teammate by bouncing it off a wall. The angles formed when the puck hits the wall and bounces off are congruent. Some of the distances are shown. What is the distance, x, from Player 1 to the wall? Enter your answer, as a decimal, in the box. Round your answer to the nearest hundredth. X = ft two right triangles are shown illustrating the path of the puck and the distances the player are from the wall. The larger triangle shows the height of x, which is also the distance the player is from the wall. The base of this triangle is 12 feet. The smaller triangle shows a height of 8 feet, which is all far player 2 is from the wall. The base of this triangle is 9 feet.
Answers
Answer:
10.67
Step-by-step explanation:
I just took the test.
Three eighths of the students in Ms. Mull's class ride the bus. If there are 24 students in the class, how many students ride the bus?
Answers
Therefore the answer is 9 students.
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-2 + y = -9
-27 + 2y = -18
Answers
Answer:
Both have no solution, neither cross the x-axis.
-2+y=-9
Can be simplified to y=-9+2, the same as y= - 7.
-27+2y= - 18 is the same as y= - 18+27/2, which is simplified to y= 4.5
Hope this helps!
13. Dave wants to buy a ceramic vase. The sale price is £3.
What was the original price?
Sale! 70% off!
Answers
Answer:
0.7x=3
divide by 0.7
x=4.28
Hope This Helps!!!
What is the answer to this
Answers
I do suggest you learn how to do it since you’ll have to use this a lot more in College
Which set of numbers could represent the lengths of the sides of a right triangle?
7, 9, 11
12, 18, 22
10, 15, 20
8, 15, 17
Answers
Answer:
8, 15, 17
Step-by-step explanation:
A^2 + B^2 = C^2
a watches decrease in price by 5/6 after the reduction it was priced at £15 what was the original price of the Watch
Answers
Answer:
£90
Step-by-step explanation:
if it decreases by 5/6 then that means that 15 is 1/6 of the total price
15*6 = 90
Sang-Jin has only quarters and nickels in her piggy bank. She has 66 coins in the bank with a value of $11. 50. How many quarters are in Sang-Jin’s piggy bank? Enter your answer in the box.
Answers
One quarter is equal to the 0.25 dollars and one nickel equal to the 0.05 dollars. The total number of quarter in the Sang-Jin's piggy bank is 41.
Given information-
Sang-Jin has only quarters and nickels in her piggy bank.
She has 66 coins in the bank with a value of $11.50.
QuarterOne quarter is equal to the 0.25 dollars.
NickelOne nickel equal to the 0.05 dollars.
Let x be the quarter and y be the nickels.
As there is total 66 coins. thus,
[tex]x+y=66\\ y=66-x[/tex]
Suppose the above equation as the equation number 1.
As the total amount is $11.50. Thus,
[tex]0.25x+0.05y=11.50[/tex]
Put the value of y from the equations 1 in the above equation. Thus,
[tex]0.25x+0.05(66-x)=11.50\\ 0.25x+3.3-0.05x=11.50\\ 0.2x=11.5-3.3\\ x=\dfrac{8.2}{0.2}\\ x=41[/tex]
Thus the total number of quarter in the Sang-Jin's piggy bank is 41.
Learn more about the quarter and nickel here;
https://brainly.com/question/177032
Election results for 6 grade
President: Ally=50, Ava=150 and
Jose=100. What is the ratio of
Jose's votes to Ava's votes?
Answers
Answer: 2:1
Step-by-step explanation:
Jose has 100 votes and Ally has 50 votes.
The ratio for that would be 100:50.
But that simplified would be 2:1.
I need help as soon as possible please
Answers
Answer:
the correct answer is 48 degrees
Step-by-step explanation:
needs to add up to 180, we know that one of the angle is 42 degree, we also know that we got a right angle, which is always 90 degree.
180-90-42=48
have a nice day.
PLZZ HELP ME I NEED TO KNOW WHAT THE values from the given replacement set make up the solution set of the inequality?
x+13 > 25; {11,12,13,14}
40 POINTS
Answers
Its b, because only 13 and 14 work
Once you get your answer look for the solution set that have numbers that are all above 12.
Hope this helps you :)
Steven earns 10 dollars. Each week he earns 2 dollars. Show how much money he will have at the end of 10 weeks.
How many weeks will it take until he has 25 dollars?
Answers
Answer:
8 days
Step-by-step explanation:
I think this should be correct
the pepper plant has 2/3 fruit on it as the tomato plant the tomatohas 9 fruits on it
Answers
I'll give brainly please help with this math problem i sent screen shot
Answers
Check the picture below.
so we can simply get the areas of the rectangular part, notice its top is inside the box, so we exclude that, and the area of a semi-cylinder, whose height is 0.6 and has a radius of 0.2.
[tex]\stackrel{\textit{\large area of the rectangular prism}}{\stackrel{\textit{front and back}}{2(0.6\cdot 0.55)}+\stackrel{\textit{left and right}}{2(0.4\cdot 0.55)}+\stackrel{bottom}{(0.4\cdot 0.6)}}\implies \boxed{1.34} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{total area of a cylinder}\\\\ A=2\pi r(h+r) \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=0.2\\ h=0.6 \end{cases}\implies \begin{array}{llll} A=2(\stackrel{\pi }{3.14})(0.2)(0.6+0.2)\\\\ A=1.0048\\\\ \stackrel{\textit{half that for a half-cylinder}}{\boxed{0.5024}} \end{array} \\\\[-0.35em] ~\dotfill\\\\ 1.34+0.5024\implies 1.8424\implies \stackrel{\textit{rounded up}}{2~m^2}[/tex]
Find the value of each variable.
y
105°
86°
z
106°/2°
Answers
or, z + 106° = 180° ( being straight angle )
or, z = 180°- 106°
•°• z = 74°
Now,
or, z + y = 180° ( being co-interior angle )
or, 74° + y = 180°
or, y = 180° - 74°
•°• y = 106°
~nightmare 5474~
The value of x is 74.
The value of y is 106.
What is the value of x?The sum of angles on a straight line is 180. In order to determine the value of x, subtract 106 from 180.
x = 180 - 106 = 74
What is the value of y?
In order to determine the value of y, subtract 180 from 74
180 - 74 = 106.
To learn more about subtraction, please check: https://brainly.com/question/854115
Michael just started middle school this year, and his grandmother will give him some money to buy new spirit wear. After he buys a hoodie for $30, Michael figures he'll need at most $15 more to buy a T-shirt.
Let x represent how much money Michael expects to spend on spirt wear. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Michael expects to spend at most $_______
on spirit wear.
Answers
The inequality that describes the problem is x - 30 ≤ 15
Inequality problemLet x represent how much money Michael expects to spend on sports wear
If Michael just started middle school this year, and his grandmother will give him some money to buy new spirit wear and buys hoodie for $30, the balance remaining will be x - 30
If Michael figures he'll need at most $15 more to buy a T-shirt, hence the resulting inequality will be:
x - 30 ≤ 15
Add 30 to both sides
x - 30 + 30 ≤ 15 + 30
x ≤ 45
Hence the inequality that describes the problem is x - 30 ≤ 15 and Michael expects to spend at most $45 on sports wear.
Learn more on inequality here: https://brainly.com/question/24372553
A truck that is 10 ft. by 10 ft. by 14 ft. carries boxes that are 2 ft. by 2 ft. by
2.5 ft. How many more of these boxes can this truck hold if it is already
65 % full?
Answers
The number of boxes that the truck can hold if it is already 65% full is; 49 boxes
Volume of a truckWe are given the truck dimensions as;
Length; L = 10 ftWidth; w = 10 ftHeight; h = 14 ftFormula for volume of truck is;
V = L × w × h
Thus;
V_truck = 10 × 10 × 14
V_truck = 1400 ft³
Volume of boxes is;
V_box = 2 × 2 × 2.5
V_box = 10 ft³
We are told that truck is 65% full.
Thus;
Volume left in truck = 35% × 1400
Volume left in truck = 490 ft³
Thus;
Number of boxes the truck can hold at the 65% capacity = 490/10 = 49 boxes
Read more on volume of a box at; https://brainly.com/question/15532376
What is 30 more than a number?
Answers
Answer:
there are varous answer to this problem but the equation is 30+n
just plug in any number for n and add 30.
Ex:
n=30
30+30=60
Ex:
n = 40
30+40=70
Hoped that helped:P
