Question 260757
Glad you provided the answer you have.
First we have to find the slope of the given line
3x+2y=-1
Get y by itself
2y=-3x-1
y=-3x/2-1/2
The slope is -3/2
So the perpendicular line has to have a slope of 2/3

2/3*(-3/2)=-1
The new line goes through (4,5)
Plug in 4 and 5 to find b
5=2*4/3+b
15/3-8/3=b
7/3=b
y=2x/3+7/3
or 3y=2x+7