Question

What is the equation, in slope-intercept form, of a line that passes through the points (1,8) and (-2,2)?

Answer 1

slope intercept form is represented as

$\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}$$\begin{gathered} (1,8)(-2,2) \\ m=\frac{2-8}{-2-1} \\ m=\frac{-6}{-3}=2 \end{gathered}$

Therefore, let us find b

$\begin{gathered} y=2x+b \\ 8=2(1)+b \\ 8-2=b \\ b=6 \end{gathered}$

Finally, the equation

$\begin{gathered} y=mx+b \\ y=2x+6 \end{gathered}$