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

1 Answer
Don't Memorise
Apr 4, 2015
  • 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:

  • SlopeSlope = RiseRise/RunRun
    The RiseRise is the Difference of the Y coordinates of any two points on the line
    And the RunRun 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)(x1,y1)and(x2,y2), then Slope = (y_2-y_1)/(x_2-x_1)Slope=y2−y1x2−x1
    Here, the coordinates are (3,-6)(3,−6) and (3,-9)(3,−9)

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

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