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?

Answer 1

-7x + 3y = - 21.5

3y = 7x - 21.5

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

Slope of line (m₁) is 7/3

If the line is parallel than the Slope of the parallel line must be 7/3.

And

If the line is perpendicular than m₁ × m₂ = -1

$\frac{7}{3}$ × m₂ = -1

m₂ = - $\frac{3}{7}$

Than the equation of line is

y = -$\frac{3}{7}$ x - $\frac{21.5}{3}$ .