Question

Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the graph of the equation. (-8,5) y = -4x +2

Answer 1

y = 1/4x + 7

Explanation:

A perpendicular line will have an opposite reciprocal slope, so the slope will be 1/4

Plug in the given point and slope into y = mx + b, then solve for b

y = mx + b

5 = 1/4(-8) + b

5 = -2 + b

7 = b

Plug in b and the slope into y = mx + b

y = 1/4x + 7

So, the equation of the line is y = 1/4x + 7