How do you find slope of (1,-1); (-2,-6)?

1 Answer
Apr 7, 2015
  • #[Slope](http://socratic.org/algebra/graphs-of-linear-equations-and-functions/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 = (y_2-y_1)/(x_2-x_1)#
    Here, the coordinates are # (1,-1)# and #(-2,-6)#

#Slope = (-6-(-1))/(-2-1)=(-6+1)/-3=(-5)/-3=5/3#

The slope of the line passing through points (1,-1) and (-2,-6) is #5/3#

  • The graph of the line will look like this:
    graph{y=(5x/3)-(8/3) [-10, 10, -5, 5]}