Question

Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points R(–4, 3) and S(–5, 4)? Explain.

Answer 1

No

Explanation:

Let's find the slope of both lines and then compare these slopes:

From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y. Thus, the slope is m = rise / run = 1/(-1) = -1.

From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y. The slope here is m = rise / run = -1/5.

For these lines to be parallel, their slopes must be the same. That is not the case here, so NO, the lines are not parallel.