Question

14. Find the slope of the line passing through the points (8, 15) and (5,9).

Answer 1

The slope is 2.

Explanation:

Slope, usually represented by m, is m = rise / run.

If we go from the point (5, 9) to the point (8, 15), x increases by 3 (this is the run) and y increases by 6 (this is the rise).

Thus, the slope is m = rise / run = 6/3, or 2.

The slope is 2.

Answer 2

We have
`P_1(x_1,y_1)\to P_1(8,15)` and
`P_2(x_2,y_2)\to P_2(5,9)`.

The slope is

`m=\frac{\Delta{y}}{\Delta{x}}=(y_2-y_1)/(x_2-x_1)=(9-15)/(5-8)=(-6)/(-3)=\boxed{2}`

Hope this helps.