Answer:
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
[tex]y = - \frac{2}{3} x + \frac{9}{ 3} \\ \\ y = - \frac{2}{3} x + 3[/tex]
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
[tex]slope = \frac{3}{2} \\ [/tex]
Hope this helps you
