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Family of lines perpendicular to y=2x+3, passing through point (5,-6)

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JthanSCOUTid
y=2x+3
Get the negative reciprocal of the slope
m=-1/2
y-(-6)=(-1/2)(x+3-5)
2y+12=-x+2
2y=-x-10
y=(-1/2)x-5