Question

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

Answer 1

• `color(green)(Slope= (Rise)/(Run)`

The `Rise` is the Difference of the Y coordinates of any two points on the line
And the `Run` is the Difference of the X coordinates of those two points

• If the coordinates of the points are `(x_1,y_1) and (x_2,y_2)`, then `[Slope](http://socratic.org/algebra/graphs-of-linear-equations-and-functions/slope) = (y_2-y_1)/(x_2-x_1)`
  Here, the coordinates are `(-2,3)` and `(3,2)`

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

The slope of the line passing through points `(-2,3)` and `(3,2)` is `color(green)(-1/5`

• The graph of the line passing through `(-2,3)` and `(3,2)` will look like this:

graph{y=(-x/5)+(13/5) [-10, 10, -5, 5]}