Question

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

$\left(0,5\right),\left(6,2\right)$

Short answer

The slope of the line that passes through the given pair of points is $-\frac{1}{2}$.

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 0,5 and 6,2.

The slope of the line $\left(m\right)$that passes through the points $\left(x_1,y_1\right)=\left(0,5\right)$and $\left(x_2,y_2\right)=\left(6,2\right)$is:

$$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{2-5}{6-0} \\ =\frac{-3}{6} \\ =\frac{-1}{2} \end{gathered}$$

The slope of the line that passes through the given pair of points is $\frac{-1}{2}$.