Answer:
y = -x+7
Step-by-step explanation:
-x+y = 4
Solve for y so we can find the slope
Add x to each side
y = x +4
This is in slope intercept form
y = mx+b where m is the slope
The slope is 1
We want a line that is perpendicular. Two lines that are perpendicular have slopes that multiply to -1
m* 1 = -1
m = -1
The line that is perpendicular has a slope that is -1
We have a slope
y = -1x +b
Substitute the point into the equation
8 = -1(-1) +b
8 = 1+b
8-1 =b
7 = b
y = -1x +7
y = -x+7
