Question

What is the slope of the line that passes through `(-2,5)` and `(1, 3)`?

Answer 1

`"slope "=-2/3`

Explanation:

`"calculate the slope m using the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(-2,5)" and "(x_2,y_2)=(1,3)`

`m=(3-5)/(1-(-2))=(-2)/3=-2/3`

Answer 2

`-2/3`

Explanation:

Recall that slope is given by the formula

`(Deltay)/(Deltax)`, where the Greek letter Delta (`Delta`) is shorthand for "change in".

We just see how much our `y` changes by, and divide it by how much our `x` changes by.

We go from `y=5` to `y=3`, which represents a `Deltay` of `-2`.

We go from `x=-2` to `x=1`, which represents a `Deltax` of `3`.

Dividing the two, we get a slope of

`-2/3`

Hope this helps!