Question

A line intersects the points (-4,5) and (-6,3). what is the slope of the line in simplest form? M=?

Answer 1

`m = 1`

Explanation:

Use the slope intercept form:

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

Let:

`(x_1, y_1) = (-4 , 5)\\(x_2, y_2) = (-6 , 3)`

Plug in the corresponding numbers to the corresponding variables:

`m = (3 - 5)/(-6 - (-4)) \\m = (-2)/(-6 + 4)\\m = (-2)/(-2) = 1`

Your slope = 1

~

Answer 2

m = 1

Explanation:

Slope can be found by doing change in y over change in x, in mathemathical terms,
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

[] Pllug in our values, (-4, 5) will be our
`x_(1)` and
`x_(2)` values, (-6, 3) will be the
`y_(1)` and
`y_(2)` values

`(y_(2) -y_(1) )/(x_(2) -x_(1) ) =(3-5)/(-6--4)=(3-5)/(-6+4)=(-2)/(-2)=(2)/(2)=1`

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather