Answer to Question #210466 in Geometry for jt1

Question

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

Answer 1

$$-7x+3y=-21.5$$

$$y=\dfrac{7}{3}x-\dfrac{21.5}{3}$$

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

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

A.

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

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

B.

$$-1.5x-3.5y=-31.5$$

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

C.

$$2x+y=20$$

$$y=-2x+20$$

D.

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

$$y=\dfrac{9}{4}x-\dfrac{39}{4}$$

Answer

B.

$$-1.5x-3.5y=-31.5$$