Answer:
Let’s first turn 3y+33=2x into slope-intercept form.
3y+33=2x
Subtract 33 on both sides
3y=2x-33
Divide 3 on both terms of the right side of the equation.
y=2/3x-11
When lines are parallel to each other, it means that the slopes are the same.
So, the slope of the equation will be 2/3
This is how your equation is looking so far: y=2/3x
Because this line passes through the point (9,-6), plug in 9 for x and plug in -6 for y in the equation.
-6=2/3(9)
2/3 times 9 is 18/3, which is equal to 6.
What plus 6 is equal to -6? -12
So, -12 would be your y-intercept.
This is what your final equation would look like:
y=2/3x-12
Hope I helped!
