2. True or false. Suppose the slope of a straight line L is -3/4 and P is a given point on L. If Q is a point on L lying 2 units to the right of P, then Q is situated 3/2 units below P. Prove why.

Answer 1

True

A slope of -3/4 means that when x increases by 1, y decreases by 3/4.

For some c,

y(x) = -3/4 x + c

y(x+2) = -3/4 (x+2) + c
= -3/4 x - 3/2 + c
= -3/4 x + c - 3/2
= y(x) - 3/2