Test 8 Section 4 #27 please
Yeah, this is a pretty tricky one! The key to getting through it is recognizing that whenever you have a point on a line, you can plug the coordinates into the line’s equation. Because the question wants to know about , we should start by getting our equations in terms of r and p.
We know (p, r) is on y = x + b, so we substitute:
Likewise, we know that (2p, 5r) is on y = 2x + b, so we substitute:
From there, we can use the fact that both equations have a b in them to our advantage. Solve each for b, then set them equal to each other:
Now just combine like terms and solve for :