Q10. - Algebra 1

Question

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

$\left(5,8\right), \left(-3,7\right)$

Step-by-Step Solution

Answer

The slope of the line that passes through the given pair of points is $\frac{1}{8}$.

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

The slope of the line (m) 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 5 , 8 and − 3 , 7 .

The slope of the line (m) that passes through the points $\left(x_1,y_1\right)=\left(5,8\right)$ and $\left(x_2,y_2\right)=\left(-3,7\right)$ is:

$$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{7-8}{-3-5} \\ =\frac{-1}{-8} \\ =\frac{1}{8} \end{gathered}$$

The slope of the line that passes through the given pair of points is $\frac{1}{8}$.