Answer:
y = -x + 4
Step-by-step explanation:
(x₁,y₁)= (5, - 1) & (x₂,y₂)= (2 , 2)
Slope = 
![\frac{2-[-1]}{2-5}\\\\=\frac{2+1}{-3}\\\\=\frac{3}{-3}\\\\= -1](https://tex.z-dn.net/?f=%5Cfrac%7B2-%5B-1%5D%7D%7B2-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%2B1%7D%7B-3%7D%5C%5C%5C%5C%3D%5Cfrac%7B3%7D%7B-3%7D%5C%5C%5C%5C%3D%20-1)
m = -1
Equation of the line y - y₁ = m(x - x₁)
y - [-1] = (-1)*(x - 5)
y + 1 = -x + 5 {-1 is distributed}
y = -x + 5 - 1
y = -x + 4
Answer:
The answer is 115.2.
Step-by-step explanation:
Answer:
y = -x + 7
Step-by-step explanation:
As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.
Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:
0 = -1(8) + b, or b = 8
Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.
Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):
5 = -2 + b, or b = 7
Then the desired line (final answer) is y = -x + 7
