Question

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(-4, -3); (-6, -6)

Short answer

The slope of the line is $\frac{3}{2}$.

Step-by-step solution

Step-1 – Given

The given points are (-4, -3); (-6, -6).

Step-2 – To determine

We have to find the slope of the line through the points (-4, -3); (-6, -6).

Step-3 – Calculation 

We compare (-4, -3); (-6, -6) with$\left(x_1,y_1\right);\left(x_2,y_2\right)$.

here,

$\begin{array}{l}{x}_1=-4\\ y_1=-3\\ x_2=-6\\ y_2=-6\end{array}$

So, $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{-6+3}{-6+4}=\frac{3}{2}$.

It means, the slope of the line is$\frac{3}{2}$ .$slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{-6+3}{-6+4}=\frac{3}{2}$