Solution
Given the points (-8 4) and 12-26).
Using the equation
[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ \text{ here }(x_1,y_1)=(-8,4),\text{ }(x_2,y_2)=(12,-26) \\ \\ \Rightarrow\frac{y-4}{x+8}=\frac{-26-4}{12+8} \\ \\ \Rightarrow\frac{y-4}{x+8}=-\frac{30}{20}=-\frac{3}{2} \\ \\ \Rightarrow y-4=-\frac{3}{2}(x+8) \\ \\ \Rightarrow y=-\frac{3}{2}x-12+4 \\ \\ \Rightarrow y=-\frac{3}{2}x-8 \end{gathered}[/tex]
