Question

Write a linear equation with the coordinates of (-4,4) and (4,-2)

Answer 1

The line equation is typically represented as

`\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

Therefore,

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(-2-4)/(4+4)=(-6)/(8)=-(3)/(4) \end{gathered}`

Let find b

`\begin{gathered} y=mx+b \\ 4=-(3)/(4)(-4)+b \\ b=1 \end{gathered}`

The linear equation is

`y=-(3)/(4)x+1`