Question

How do you find the slope given (-3,3) and (2,4)?

Answer 1

`m=1/5`

Explanation:

The slope `m` between the two points `(x_1,y_1)` and `(x_2,y_2)` is given by the change in the `y` values over the change in the `x` values.

Change is often represented by the Greek letter delta, or `Delta`.

Slope's formula is:

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

Where our two points are `(-3,3)` and `(2,4)`, this gives a slope of:

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