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:
[tex]\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=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]
- We have been given the coordinate points; thus, we can proceed to find the slope as follows:
[tex]\begin{gathered} x_1=-8,y_1=-9_{} \\ x_2=-8,y_2=-3 \\ \text{Thus, the slope of the line is} \\ \\ m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-(-9)}{-8-(-8)} \\ \\ m=\frac{-3+9}{-8+8} \\ \\ m=\frac{6}{0} \\ \\ \frac{6}{0}\text{ is an undefined expression} \end{gathered}[/tex]
Final Answer
The slope of the line is UNDEFINED (OPTION C)
