Answer to Question #210466 in Geometry for jt1

Question #210466

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
2021-06-25T11:45:41-0400
7x+3y=21.5-7x+3y=-21.5

y=73x21.53y=\dfrac{7}{3}x-\dfrac{21.5}{3}

The slope of the parallel line is 73.\dfrac{7}{3}.

The slope of the perpendicular line is 37.-\dfrac{3}{7}.

A.


3x+4y=3-3x+4y=3

y=34x+34y=\dfrac{3}{4}x+\dfrac{3}{4}


B.

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

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


C.


2x+y=202x+y=20

y=2x+20y=-2x+20


D.



2.25x+y=9.75-2.25x+y=-9.75

y=94x394y=\dfrac{9}{4}x-\dfrac{39}{4}



Answer

B.


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




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