Q19. - Algebra 2

Question

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

$\left(7,8\right),\left(1,8\right)$

Step-by-Step Solution

Answer

The slope of the line is $0$.

Step 1- Given information

A pair of points $(7,8),(1,8)$.

Step 2- Formula used

The slope formula of a line is:

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

Where, $m$ is slope of the line which is passes through the points $(x_1,y_1),(x_2,y_2)\text{ and }{x}_1\ne x_2.$

Step 3- To find the slope

Here, $(x_1,y_1)=(7,8){\text{ and (x}}_2,y_2)=(1,8)$

So,  $m=\frac{y_2-y_1}{x_2-x_1}$

$\begin{array}{l}\Rightarrow m=\frac{8-8}{1-7}\\ \Rightarrow m=\frac{0}{-6}\\ \Rightarrow m=0\end{array}$

Hence, the slope of the line is $0$.