Question

iven mc012-1.jpg, what is the equation of the line that passes through the points (–p, –q) and (p, q)?
y = –x
mc012-2.jpg
y = q
y = 2x + (2p – q)

Answer 1

Slope m = (q - (−q)) / (p - (−p)) = 2q / 2p = q/p (for p ≠ 0).
Using point–slope with (p,q): y − q = (q/p)(x − p) ⇒ y = (q/p)x.

So the line is y = (q/p)x (if p = 0 the line is x = 0).
None of the listed choices match this in general.