City planners want to construct a bike path perpendicular to Bruckner Boulevard at point P. Boulevard line is Y equals -3/4 X find an equation of the line for the bike path

City planners want to construct a bike path perpendicular to Bruckner Boulevard at point P Boulevard line is Y equals 34 X find an equation of the line for the class=

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DeanR

I don't think this is how city planning works. Anyway the perpendicular has negative reciprocal slope, so m=4/3, and a line through the origin has no constant, y intercept b=0.   So the bike path is

Answer: y = (4/3) x