Answer: Undefined
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Step-by-step explanation:
Both points have the same x coordinate, which immediately tells us both points are on the same vertical line.
All vertical lines have an undefined slope. This is because when it comes to rise/run, the "run" is zero. Dividing by zero is not allowed.
Check out the steps below.
![(x_1,y_1) = (-10,9) \text{ and } (x_2,y_2) = (-10,18)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (18 - 9)/(-10 - (-10))\\\\m = (18 - 9)/(-10 + 10)\\\\m = (9)/(0)\\\\m = \text{UND}\\\\](https://img.qammunity.org/2023/formulas/mathematics/college/63v96diljqgiuiyl5tdt2zcvr5rgjh3hkg.png)
The "UND" is shorthand for "undefined". Some textbooks may use the notation "NaN" to refer to "not a number".