1 Answer

Pastillman · Answer 1 · 2023-06-19T15:51:21+0000

Solution

- The question gives us two coordinate points (-8, -9), and (-8, -3). We are required to find the slope of the line that goes through these two points.

- In order to find the slope of a line, given two points, we should apply the formula given below:

$\begin{gathered} \text{Given the coordinate points,} \\ (x_1,y_1)\text{ and }(x_2,y_2), \\ \text{The formula for the slope of the line that passes through these two points is given as:} \\ m=(y_2-y_1)/(x_2-x_1) \end{gathered}$

- We have been given the coordinate points; thus, we can proceed to find the slope as follows:

$\begin{gathered} x_1=-8,y_1=-9_{} \\ x_2=-8,y_2=-3 \\ \text{Thus, the slope of the line is} \\ \\ m=(y_2-y_1)/(x_2-x_1)=(-3-(-9))/(-8-(-8)) \\ \\ m=(-3+9)/(-8+8) \\ \\ m=(6)/(0) \\ \\ (6)/(0)\text{ is an undefined expression} \end{gathered}$

Final Answer

The slope of the line is UNDEFINED (OPTION C)

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