SOLUTION: Are these following pair of lines parallel, perpendicular, or neither? -3x+2y=4 and 2x+3y=-15

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Question 417102: Are these following pair of lines parallel, perpendicular, or neither? -3x+2y=4 and 2x+3y=-15
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

-3x%2B2y=4 and
2x%2B3y=-15....write them in slope-intercept form

2y=3x%2B4
y=%283%2F2%29x%2B2.......slope m=3%2F2, y-intercept is 2

3y=-2x-15
y=-%282%2F3%29x-5.......slope m1=-%282%2F3%29, y-intercept is -5

slope m1=-%282%2F3%29 is negative inverse of m=3%2F2, and lines are perpendicular

graph:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%283%2F2%29x%2B2%2C-%282%2F3%29x-5%29+