Question

Find the slope of the line through the given points

Answer 1

m=4/1
slope is rise over run
-3+(6)=3
7-(24)=-17
so 24/6=8/2=4/1
so 4/1 is the slope

Answer 2

m = -4

Explanation:

Pre-Solving

We are given a table of coordinate points, all of which are on a line.

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

To do that, we can use the formula
`(y_2-y_1)/(x_2-x_1)`, where
`(x_1,y_1)` and
`(x_2,y_2)` are points.

We can pick any 2 points on the line to use, however let's go with (-5, 15) and (-3, 7).

Let's label the values of these points.

`x_1=-5\\y_1=15\\x_2=-3\\y_2=7`

Solving

Let's plug these values into the formula.

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

`m=(7-15)/(-3--5)`

We can simplify the denominator:

`m=(7-15)/(-3+5)`

`m=(-8)/(2)`

m = -4