Q. 20 - Algebra 2

Question

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

$\left(-2,-3\right),\left(0,-5\right)$

Step-by-Step Solution

Answer

The slope of the line is $-1$.

Step 1. Given information

A pair of points $(-2,-3),(0,-5)$.

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, $(x_1,y_1)=(-2,-3){\text{ and (x}}_2,y_2)=(0,-5)$

So,  $m=\frac{y_2-y_1}{x_2-x_1}$

$\begin{array}{l}\Rightarrow m=\frac{-5-(-3)}{0-(-2)}\\ \Rightarrow m=\frac{-5+3}{2}\\ \Rightarrow m=\frac{-2}{2}\\ \Rightarrow m=-1\end{array}$

Hence, the slope of the line is $-1$.