Parallel to the graph of y = -2/3x + 5
means that it has the same slope
Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b
plug that back into the equation
y = -2/3x + b
y = -2/3x + 3
The answer is <span>B. y= -2/3x+3</span>
This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).
Hope this helps :)
Answer: ![y=\dfrac{-1}{3}x+3](https://tex.z-dn.net/?f=%20y%3D%5Cdfrac%7B-1%7D%7B3%7Dx%2B3)
Step-by-step explanation:
The equation of ab line that passes through two points (a,b) and (c,d) is given by :-
![(y-b)=\dfrac{d-c}{b-a}(x-a)](https://tex.z-dn.net/?f=%28y-b%29%3D%5Cdfrac%7Bd-c%7D%7Bb-a%7D%28x-a%29)
From the given picture , the line is passing through points (0,3) and (3,2).
Then, the equation of the line will be :-
![(y-3)=\dfrac{2-3}{3-0}(x-0)](https://tex.z-dn.net/?f=%28y-3%29%3D%5Cdfrac%7B2-3%7D%7B3-0%7D%28x-0%29)
![\Rightarrow y-3=\dfrac{-1}{3}x](https://tex.z-dn.net/?f=%5CRightarrow%20y-3%3D%5Cdfrac%7B-1%7D%7B3%7Dx)
![\Rightarrow y=\dfrac{-1}{3}x+3](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%5Cdfrac%7B-1%7D%7B3%7Dx%2B3)
Hence, the required equation of the line that represents the graphed function :
Answer:
12 windows
Step-by-step explanation:
Number of windows broken = 40% of 30
![= \frac{40}{100}*30\\\\= 4 * 3\\\\= 12](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B40%7D%7B100%7D%2A30%5C%5C%5C%5C%3D%204%20%2A%203%5C%5C%5C%5C%3D%2012)
Answer:
x = 5
Step-by-step explanation:
The formula for the gradient is given by:
m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.
Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:
2.5 = (13 - 8)/(x - 3)
2.5(x - 3) = 5 (Multiply both sides by (x - 3))
x - 3 = 2 (Divide both sides by 2.5)
x = 5 (Add 3 to both sides)
Thus, the value of x is 5.
64-128-256
each step double previous number