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

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

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

Hope this helps you

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

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step-by-step explanation: