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

m = - 1/3

Step-by-step 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