Question

Finding the slope for (-2,-5) (0,5)

Answer 1

The slope is 5.

Explanation:

Pre-Solving

We are given the points (-2, -5) and (0,5).

We want to find the slope between these 2 points.

The slope (m) is written with the formula
`(y_2-y_1)/(x_2-x_1)`, where
`(x_1,y_1)` and
`(x_2,y_2)` are points.

Solving

Let's label the values of the points to avoid any confusion and mistakes when calculating.

`x_1=-2\\y_1=-5\\x_2=0\\y_2=5`

Now, substitute into the formula.

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

`m = (5--5)/(0--2)`

This can be simplified to:

`m = (5+5)/(0+2)`

Add the values together.

`m = (10)/(2)`

m = 5

The slope is 5.