Question

What is the slope of a line perpendicular to the line with equation 2x+3y=9

Answer 1

Answer:

$slope = \frac{3}{2}$

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the slope of the perpendicular line we must first find the slope of the original line

The original line is

2x + 3y = 9

3y = - 2x + 9

$y = - \frac{2}{3} x + \frac{9}{ 3} \\ \\ y = - \frac{2}{3} x + 3$

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

So the slope of the perpendicular line is

$slope = \frac{3}{2}$

Hope this helps you