Question

Find the slope for the line that passes through the points (-2,5) and (1,0)

Answer 1

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

Explanation:

Pre-Solving

We want to find the slope between the points (-2,5) and (1,0).

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.

Solving

We are already given the values of the points, but let's label their values to avoid any confusion and mistakes.

`x_1=-2\\y_1=5\\x_2=1\\y_2=0`

Now, substitute into the formula.

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

`m=(0-5)/(1--2)`

Simplify this to:

`m=(0-5)/(1+2)`

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

The slope is -5/3.