Q30. - Algebra 1

Question

Find the slope of the line that passes through each pair of points.

$\left(-6,4\right), \left(-6,-2\right)$

Step-by-Step Solution

Answer

The slope of the line that passes through the given pair of points is undefined.

Step 1. Write the formula to find the slope of the line that passes through two points.

The slope of the line $\left(m\right)$ that passes through the two points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Step 2. Find the slope of the line that passes through the points − 6 , 4 and − 6 , − 2 .

The slope of the line $\left(m\right)$ that passes through the points $\left(x_1,y_1\right)=\left(-6,4\right)$ and $\left(x_2,y_2\right)=\left(-6,-2\right)$ is:

width="111" height="217" style="max-width: none;" $$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{-2-4}{-6-\left(-6\right)} \\ =\frac{-6}{-6+6} \\ =\frac{-6}{0} \\ =\text{undefined} \end{gathered}$$

The slope of the line that passes through the given pair of points is undefined.