Question

Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?

Answer 1

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change:  - 3/5, which is in fact the slope of the line the three points belong to.