Question

Slope of (2,-24) and (-3,6)

Answer 1

-6

Explanation:

The formula for slope, as a reminder, is:

`\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]`

Now, for your points
`\((2, -24)\)` and
`\((-3, 6)\)`, let's substitute these coordinates into our slope formula:

`\[ m = \frac{{6 - (-24)}}{{-3 - 2}} \]`

Simplify the numerator and denominator:

`\[ m = \frac{{30}}{{-5}} \]`

And there you have it!
`\( \frac{{30}}{{-5}} \)` simplifies to -6.