Question #215458

Select the correct answer.

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?

A. -3x + 4y = 3

B. -1.5x − 3.5y = -31.5

C. 2x + y = 20

D. -2.25x + y = -9.75



1
Expert's answer
2021-07-11T18:08:59-0400

7x+3y=21.5/:3-7x + 3y = -21.5 / : 3

73x+y=436\large\frac{-7}{3}x+y=-\frac{43}{6} y=73x436\to y = \frac{7}{3}x-\frac{43}{6}

perpendicular -> k1k2=1k_1*k_2=-1

73k2=1k2=37\large\frac{7}{3}*k_2=-1 \to k_2=-\frac{3}{7}

B) 1.5x3.5y=31.5-1.5x-3.5y=-31.5

y=37x+9y = -\frac{3}{7}x+9

Answer is B

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