Question

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

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

Short answer

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

Step-by-step solution

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" role="math">m=y2−y1x2−x1=−2−4−6−−6=−6−6+6=−60=undefined

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