Asoftware 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

Step-by-step explanation:

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

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

isolate the variable y

------>

The slope of the line AB is equal to

Step 2

Find the slope of the line PQ

remember that

we have

----> slope line AB

so

substitute and solve for m2

Step 3

Find the equation of the line PQ

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

we have

substitute

-----> multiply by both sides

-----> divide by both sides

-----> multiply by both sides

c

step-by-step explanation: