How do you find the slope of the line passing through the points (2, 3) and (2, -4)?

1 Answer
sjc
Dec 15, 2016

the slope/gradient is infinite.

Explanation:

the slope is the gradient, and is calculated by the difference in the y-coordinates divided by the difference in the x-coordinates

#m=(y_2-y_1)/(x_2-x_1)#

in this case the#" " (x_2-x_1)=0" "# which you can not have in the denominator. This means that the line is vertical, parallel tot eh y-axis , and we say the slope/gradient is infinite.

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