Question

URGENT PLEASE

Find the equation of the line that passes through the point (-8,5) and is perpendicular to y=-4+2

Answer 1

The answer is y=1/4x+7

Answer 2

Since your original slope is - 4, you take the opposite reciprocal for the perpendicular line. This would be 1/4.

Now we have to solve for b in the slope-intercept form of y = mx + b. To find it, plug in the ordered pair given.

y = 1/4x + b
5 = 1/4(- 8) + b
5 = - 2 + b
5 + 2 = b
7 = b

Your equation is y = 1/4x + 7