Q17. - Algebra 2

Question

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

17. $\left(-6,-5\right),\left(4,1\right)$

Step-by-Step Solution

Answer

The slope of the line is $\frac{3}{5}$.

Step 1- Given information

A pair of points $(-6,-5),(4,1)$.

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, $(x_1,y_1)=(-6,-5){\text{ and (x}}_2,y_2)=(4,1)$

So,  $m=\frac{y_2-y_1}{x_2-x_1}$

$\begin{array}{l}\Rightarrow m=\frac{1-(-5)}{4-(-6)}\\ \Rightarrow m=\frac{1+5}{4+6}\\ \Rightarrow m=\frac{6}{10}\\ \Rightarrow m=\frac{3}{5}\end{array}$

Hence, the slope of the line is $\frac{3}{5}$.