Question

Find the slope given two points: (-9, -2) and (-5,0)

Answer 1

1/7

Explanation:

Consider the line passing through these two points. The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.

Thus the slope of this line is m = rise/run = 2/14, or m = 1/7

Answer 2

`m = (1)/(2)`

Explanation:

To find the slope using two given sets of coordinates, the following function can be used:

`m = (y2-y1)/(x2 - x1)`

Where x1,y1 are one set of coordinates and x2,y2 are the other set:

`m = (0 - (-2))/(-5 - (-9))\\`

`m = (0 + 2)/(-5 + 9)`

`m = (2)/(4)`

This can be simplified down to:

`m = (1)/(2)`

Hope this helps!