Answer:
[tex]\frac{4}{9}[/tex]
[tex]-\frac{9}{4}[/tex]
Step-by-step explanation:
First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.
Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.
Parallel lines have the same slope. So, the slope is the exact same, -9/4.
