Question #102889
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
1
Expert's answer
2020-02-13T10:11:45-0500

The equation of the lane passing through A and B is 7x+3y=21.5-7x + 3y = -21.5

this could be written as y=7x321.53y=\dfrac{7x}{3}-\dfrac{21.5}{3}

slope of this line is 7/3

central street PQ will be perpendicular to the lane passing through A and B

slope of central street PQ = 1slope of lane joining A and B=17/3=37\dfrac{-1}{slope \ of\ lane \ joining \ A\ and \ B}=\dfrac{-1}{7/3}=\dfrac{-3}{7}


Equation of the central street PQ .

y=mx+cy=mx+c

y=3x/7 +cy=-3x/7 \ +c


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