Asked by Dan
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.
Answers
Answered by
Steve
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
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