Q. 26 - Algebra 2

Question

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

 $\left(3,b\right),\left(-5,b\right)$

Step-by-Step Solution

Answer

The slope of the line is 0.

Step 1. Given information

A pair of points $\left(3,b\right),\left(-5,b\right)$.

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, $(x_1,y_1)=\left(3,b\right){\text{ and (x}}_2,y_2)=\left(-5,b\right)$

So,  $m=\frac{y_2-y_1}{x_2-x_1}$

$\begin{array}{l}\Rightarrow m=\frac{b-b}{-5-3}\\ \Rightarrow m=\frac{0}{-8}\\ \Rightarrow m=0\end{array}$

Hence, the slope of the line is 0.