How do you find the slope given (-2,-7) (-2,0)?

1 Answer
Alan P.
Apr 25, 2016

The slope of a line through (-2,-7) and (-2,0) is undefined.

Explanation:

(-2,-7) and (-2,0) are two points on a vertical line; vertical lines have "undefined" slopes.

In general calculation of a slope requires division by the difference between two x coordinate values. In this case all x coordinate values are (-2) so the difference would be zero and division by zero is "undefined"

Slope (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1) = (0-(-7))/((-2)-(-2)) = 7/0 = ???

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