Question

The slope of a line perpendicular to the line whose equation is y = 3x - 4 is

Answer 1

m = -1/3

Explanation:

y = 3x-4

This is in slope intercept form

y = mx+b m is the slope and b is the y intercept

The slope is 3 and the y intercept is -4

We want the slope of a line that is perpendicular

Perpendicular lines have slopes that multiply to -1

Let m be the slope of the line that is perpendicular

3 * m = -1

Divide each side by 3

3m/3 = -1/3

m = -1/3