Question

PLEASE HEPP IM STUCK

Answer 1

m = -4

Explanation:

We are given that a line intersects the points (-2, 9) and (3, -11).

We want to write the slope of this line.

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

Even though we have everything we need to calculate the slope, let's label the values of the points to avoid any confusion & mistakes.

`x_1=-2\\y_1=9\\x_2=3\\y_2=-11`

Now substitute these values into the formula (remember that the formula has subtraction).

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

m=
`(-11-9)/(3--2)`

Simplify.

m=
`(-11-9)/(3+2)`

Subtract the values on top.

m=
`(-20)/(3+2)`

Now add the values on the bottom together.

m=
`(-20)/(5)`

Now divide -20 by 5.

m = -4