Answer: y=-3/2x-13/2
Explanation:
To find a line parallel to the given line, we know that the two equations must have the same slope. We first want to find the slope of the given equation.
3x+2y=9 [subtract both sides by 3x]
2y=-3x+9 [divide both sides by 2]
y=-3/2x+9/2
Now, we know the slope if -3/2. All we have to do is plug in the given point to find the y-intercept.
-5=-3/2(-1)+b [multiply]
-5=3/2+b [subtract both sides by 3/2]
b=-13/2
Now, we know the equation is y=-3/2x-13/2.