Question

How do you find the slope given A(-3,2) and B ( 0,4)?

Answer 1

`m=2/3`

Explanation:

`A(-3,2)`
`B=(0,4)`
`A_x=-3`
`A_y=2`
`B_x=0`
`B_y=4`
`m="slope"`

`m=(B_y-A_y)/(B_x-A_x)`

`m=(4-2)/(0+3)`

`m=2/3`

Answer 2

`m=2/3`

Explanation:

To solve this, we can use the gradient formula: `m=(y_2-y_1)/(x_2-x_1)`, where `x_1,y_1` are the coordinates of the first point, `x_2,y_2` are the coordinates of the second point, and `m` is what the slope.

Let's call `(-3,2)` the first point and `(0,4)` is the second point, although it doesn't matter which one is the first or second, you'll always get the same answer. Applying this:

`m=(4-2)/(0-(-3))`
`m=2/3`