Question

Could someone help me out please and thank u so much

Answer 1

(A) Given the points (5, -2) and (5, 6);

The slope m, of a line passing through two points is given as;

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where m=slope} \\ x_1=5 \\ x_2=5 \\ y_1=-2 \\ y_2=6 \end{gathered}$$\begin{gathered} m=\frac{6-(-2)}{5-5} \\ m=\frac{8}{0} \\ m=\infty\text{ (undefined)} \end{gathered}$

The slope of the line passing through the points (5, -2) and (5, 6) is undefined

(B) Given the points (-7, 3) and (-7, -3)

Similarly, the slope is given as;

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where m= slope} \\ x_1=-7 \\ x_2=-7 \\ y_1=3 \\ y_2=-3 \end{gathered}$$\begin{gathered} m=\frac{-3-3}{-7-(-7)} \\ m=-\frac{6}{0} \\ m=\infty\text{ (undefined)} \end{gathered}$

The slope of the line passing through the points (-7, 3) and (-7, -3) is undefined.