Question

What is the slope of the points (-2,7) and (2,-5)?
4
-3
-12
3

Answer 1

It would be 3 you can find it on your Calcator

Answer 2

The slope of a line that goes through both
`(-2,\, 7)` and
`(2,\, -5)` would be
`(-3)`.

Explanation:

The slope of a line is the ratio between rise and run between these two points.

The rise between two points is the change to the corresponding
`y` coordinates. Between
`(-2,\, 7)` and
`(2,\, -5)`, the rise would be
`(-5) - 7 = (-12)` (subtract the first
`y\!`-coordinate from the second.)

The run between two points is the change to the corresponding
`y` coordinates. Between
`(-2,\, 7)` and
`(2,\, -5)`, the rise would be
`2 - (-2) = 4` (likewise, subtract the first
`x`-coordinate from the second.)

Hence, the slope of this line would be:

`\begin{aligned} \frac{\text{rise}}{\text{run}} &= (-12)/(4) = -3\end{aligned}`.