Q. 22 - Algebra 2

Question

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

 $\left(4,-1.5\right),\left(4,4.5\right)$

Step-by-Step Solution

Answer

The slope of the line is $\infty$.

Step 1. Given information

A pair of points $\left(4,-1.5\right),\left(4,4.5\right)$.

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, $(x_1,y_1)=\left(4,-1.5\right){\text{ and (x}}_2,y_2)=\left(4,4.5\right)$

So,  $m=\frac{y_2-y_1}{x_2-x_1}$

$\begin{array}{l}\Rightarrow m=\frac{4.5-(-1.5)}{4-4}\\ \Rightarrow m=\frac{4.5+1.5}{0}\\ \Rightarrow m=\infty \end{array}$

Hence, the slope of the line is $\infty$.