Question

Write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation.

Answer 1

Answer:

• y + 2 = - 3/2(x - 4)

Step-by-step explanation:

Given line:

• y + 4 = 2/3(x - 2)

It has a slope of 2/3.

Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:

• m = - 3/2

Find its equation provided it passes through the point (4, - 2):

• y - (-2) = - 3/2(x - 4)
• y + 2 = - 3/2(x - 4)