Question

Write an equation that passes through the points (-8 4) and 12-26).

Answer 1

Given the points (-8 4) and 12-26).

Using the equation

`\begin{gathered} (y-y_1)/(x-x_1)=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ \\ \text{ here }(x_1,y_1)=(-8,4),\text{ }(x_2,y_2)=(12,-26) \\ \\ \Rightarrow(y-4)/(x+8)=(-26-4)/(12+8) \\ \\ \Rightarrow(y-4)/(x+8)=-(30)/(20)=-(3)/(2) \\ \\ \Rightarrow y-4=-(3)/(2)(x+8) \\ \\ \Rightarrow y=-(3)/(2)x-12+4 \\ \\ \Rightarrow y=-(3)/(2)x-8 \end{gathered}`