Answer to Question #217134 in Geometry for sleepy

Question #217134

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
2021-07-14T18:16:12-0400

The equation of the lane passing through AA and B,B, is


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

Solve for yy


y=73x436y=\dfrac{7}{3}x-\dfrac{43}{6}

Hence

slope1=73slope_1=\dfrac{7}{3}

Since the central street PQPQ is perpendicular to the lane passing through AA and B,B, then


slope2=1slope1=37slope_2=\dfrac{-1}{slope_1}=-\dfrac{3}{7}

Point P(7,6)P(7, 6)


6=37(7)+b=>b=96=-\dfrac{3}{7}(7)+b=>b=9

The equation of the central street PQPQ is


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


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS