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

1 Answer
Apr 8, 2015
  • #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]}