Question

How do you find the slope of the line passing through each pair of points $(-3,-1),(-1,5)$ ?

Answer 1

Finding the slope of the line passing through the given two points:

The slope of the line passing through two points $(x_1,y_1),(x_2,y_2)$ is given by, $m=\frac{y_2-y_1}{x_2-x_1}$.

Hence, the slope of the line passing through two points $(-3,-1),(-1,5)$ is by substituting the values in the above formula:

$\begin{array}{rcl}m& =& \frac{5-\left(-1\right)}{-1-\left(-3\right)}\\ & \Rightarrow & m=\frac{6}{2}\\ & \Rightarrow & m=3\end{array}$

Therefore, the slope of the line passing through the given two points $\mathbf{(}\mathbf{-}\mathbf{3}\mathbf{,}\mathbf{-}\mathbf{1}\mathbf{)}\mathbf{,}\mathbf{}\mathbf{(}\mathbf{-}\mathbf{1}\mathbf{,}\mathbf{5}\mathbf{)}$ is $\mathbf{3}$.