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=(y_2-y_1)/(x_2-x_1)`

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

`\begin{gathered} m=(-15-2)/(-12-3)=(-17)/(-15)=(17)/(15) \\ m=(17)/(15) \end{gathered}`