Question

Find the slope of the line that passes through the points (3,2) and (-12,-15).

Answer 1

Given two points of a line, (x₁, y₁) and (x₂, y₂), we can find the slope of the line, m, using the fllowing equation:

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

Since we have the points (3, 2) and (-12, -15), the slope is:

$\begin{gathered} m=\frac{-15-2}{-12-3}=\frac{-17}{-15}=\frac{17}{15} \\ m=\frac{17}{15} \end{gathered}$