Question

What is the slope of the line passing through the following points: `(2,3) , (-2,-1)`?

Answer 1

`color(orange)(-1)`

Explanation:

`color(orange)(Slope)` = `(Y_2 - Y_1)/(X_2 - X_1)`

Color Code:

`color(red)Y_color(red)2`
`color(blue)Y_color(blue)1`
`color(green)X_color(green)2`
`color(yellow)X_color(yellow)1`

`(color(yellow)2, color(blue)3)` , `(color(green)-color(green)2 ,color(red)-color(red)1)`

Now plug corresponding values into the formula at the top of the explanation:

`(color(red)-color(red)1 - color(blue)3)/(color(green)-color(green)2 - color(yellow)2)`

You get:

`color(orange)(-4)/color(orange)(-4)`

Also written as:

`color(orange)1`