Question

Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.

(-5,8); y=1/5x-2

Write an equation for the perpendicular line in​ slope-intercept form.

Answer 1

y = -5x - 17

Explanation:

Linear equations, or lines, that are perpendicular to each other have opposite reciprocals for the value of slope. For the given line, y = 1/5x - 2, the slope is 1/5 and the opposite reciprocal is -5.

Given the value of the slope and a given point on the second line, you can solve for 'b':

y = mx + b

8 = (-5)(-5) + b

8 = 25 + b

-17 = b

y = -5x - 17