What is the slope of the line through (-4,-6) and (9,-6)?

1 Answer
Apr 15, 2015
  • The Y-coordinates of the two points are the same.
    It means that the line will be Parallel to the X Axis . A line parallel to the X axis (a horizontal line) has a Slope of Zero (No Steepness, No Inclination)

If we have to provide an explanation with numbers, here is how it would look:

  • #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 # (-4,-6)# and #(9,-6)#

#Slope = (-6-(-6))/(9-(-4))=0/13=0#

The slope of the line passing through points # (-4,-6)# and #(9,-6)# is #color(green)(0#