Question

How do you find the slope of the line containing the points (3,-6)and (3,-9)?

Answer 1

• The X-coordinates of the two points are the same.
  It means that the line will be Parallel to the Y Axis. A line parallel to the Y axis (a vertical line) has NO SLOPE . It's undefined .

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

• `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 `(3,-6)` and `(3,-9)`

`Slope = (-9-(-6))/(3-3)`
As the denominator will equal Zero, we can say that the Slope of the Line is Undefined .