Question

What is the soap of a line that is perpendicular to a line who’s equation is 3Y equals negative 4X +2

Answer 1

Answer:

slope = $\frac{3}{4}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3y = - 4x + 2 into this form by dividing all terms by 3

y = - $\frac{4}{3}$ x + $\frac{2}{3}$ ← in slope- intercept form

with slope m = - $\frac{4}{3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{4}{3} }$ = $\frac{3}{4}$