Question

A line is perpendicular to the line y = 4x - 3 and has x-intercept (2,0). Which of the following is an equation of the line?

Answer 1

y = -1/4x+1/2

Explanation:

y = 4x - 3

This is in slope intercept form, y = mx+b where the slope is m

The slope is 4

Perpendicular lines have slopes that are negative reciprocals

-1/4 is the slope of the perpendicular line

y = -1/4x+b

Using the point (2,0)

0 = -1/4(2)+b

0 = -1/2+b

b = 1/2

y = -1/4x+1/2