Question

Find the slope of a line given the following points

Answer 1

`-(6)/(5)`

Explanation:

Pre-Solving

We are given the points (-2,4) and (3, -2).

We want to find the slope (m) of this line.

Solving

The slope can be found using the following formula:
`(y_2-y_1)/(x_2-x_1)`, where
`(x_1,y_1)` and
`(x_2,y_2)` are points.

Even though we are already given the points, we can label the values of them to avoid confusion and mistakes.

`x_1=-2\\y_1=4\\x_2=3\\y_2=-2`

Now, substitute the values of the points into the formula. Remember that we have negative numbers.

`m=(y_2-y_1)/(x_2-x_1)`

`m=(-2-4)/(3--2)`

`m=(-6)/(3+2)`

`m=(-6)/(5)`

The slope of the line is
`-(6)/(5)`.

Answer 2

-6/5

Explanation:

The slope is computed from ...

slope = (change in y)/(change in x)

= (-2 -4)/(3 -(-2)) = -6/5