By synthetic division, the quotient (4x^2 -10x -24)/(2x +3) is 2x -8.
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You have not actually said what division you want performed.
Make them both equal to y
y=-2x+6
2y=x+6 y=1/2x+3
These are perpendicular since ones slope is -2 and the other is the opposite, 1/2.
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