hayyleeyn1234
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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?

See attachment below for picture/answer choices

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 L class=

Sagot :

DarkAngelBaby
its B -1.5x − 3.5y = -31.5
calculista

Answer:

[tex]-1.5x-3.5y=-31.5[/tex]

Step-by-step explanation:

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

[tex]m1*m2=-1[/tex]

In this problem line AB and line PQ are perpendicular

Step 1

Find the slope of the line AB

The equation of the line AB is

[tex]-7x+3y=-21.5[/tex]

isolate the variable y

[tex]3y=7x-21.5[/tex] ------> [tex]y=(7/3)x-21.5/3[/tex]

The slope of the line AB is equal to

[tex]m1=7/3[/tex]

Step 2

Find the slope of the line PQ

remember that

[tex]m1*m2=-1[/tex]

we have

[tex]m1=7/3[/tex] ----> slope line AB

so

substitute and solve for m2

[tex](7/3)*m2=-1[/tex]

[tex]m2=-3/7[/tex]

Step 3

Find the equation of the line PQ

The equation of the line into point-slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=-3/7[/tex]

[tex]P(7,6)[/tex]

substitute

[tex]y-6=(-3/7)(x-7)[/tex]

[tex]y=(-3/7)x+3+6[/tex]

[tex]y=(-3/7)x+9[/tex] -----> multiply by [tex]7[/tex] both sides

[tex]7y=-3x+63[/tex]

[tex]7y+3x=63[/tex] -----> divide by [tex]2[/tex] both sides

[tex]1.5x+3.5y=31.5[/tex] -----> multiply by [tex]-1[/tex] both sides

[tex]-1.5x-3.5y=-31.5[/tex]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.