Question

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

Answer 1

• 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`