Question

100 POINTS FOR ASAP ANSWER equation of a line in slope intercept form that is perpendicular to - x + y = 4 and passes through the point (-1,8).​

Answer 1

y = -x+7

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

Answer 2

Turn the equation into slope-intercept form.

-x + y = 4

y = 4 + x

y = x + 4

The slope of a perpendicular line is the opposite and reciprocal of the original.

x -> -x

Now, we need to find a y-intercept that crosses through the point (-1,8).

(0, 7) works

Therefore, the answer is y = -x + 7

Best of Luck!