Question

What is the equation of the line in slope intercept form. (6,7) (-3,4)

Answer 1

Let:

`\begin{gathered} (x1,y1)=(6,7) \\ (x2,y2)=(-3,4) \\ \text{The slope m is:} \\ m=(y2-y1)/(x2-x1)=(4-7)/(-3-6)=(-3)/(-9)=(1)/(3) \end{gathered}`

Using the point-slope equation:

`\begin{gathered} y-y1=m(x-x1) \\ y-7=(1)/(3)(x-6) \\ \text{solve for y:} \\ y-7=(1)/(3)x-2 \\ y=(1)/(3)x-2+7 \\ y=(1)/(3)x+5 \end{gathered}`