Question

Can you help me find the slope of the line using (-20,-4) and (-12,-10)

Answer 1

To calculate the slope m of the line that passes through two points

$\begin{gathered} A(x_1,y_1) \\ B(x_2,y_2) \end{gathered}$

Using the formula

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

Let's use this with the points

$\begin{gathered} A(-20,-4) \\ B(-12,-10) \end{gathered}$

This way,

$\begin{gathered} m=\frac{-10-(-4)}{-12-(-20)}\rightarrow m=\frac{-10+4}{-12+20}\rightarrow m=\frac{-6}{8} \\ \rightarrow m=-\frac{3}{4} \end{gathered}$