Question

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

$\left(2.5,3\right),\left(1,-9\right)$

Short answer

The slope of the line is 8.

Step-by-step solution

Step 1. Given information

A pair of points $(2.5,3),(1,-9)$.

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, $(x_1,y_1)=(2.5,3){\text{and (x}}_2,y_2)=(1,-9)$

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

$\begin{array}{l}\Rightarrow m=\frac{-9-3}{1-2.5}\\ \Rightarrow m=\frac{-12}{-1.5}\\ \Rightarrow m=\frac{12}{\frac{3}{2}}\\ \Rightarrow m=\frac{24}{3}\\ \Rightarrow m=8\end{array}$

Hence, the slope of the line is $8$.