Question

What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)?

Answer 1

First use the two points in the slope formula
\[m=\frac{ x_2-x_1 }{ y_2-y_1 }\]
This will get you the slope for point-slope form.
\[m=\frac{-2-3 }{ 1-6 }\]
\[m=\frac{ -5 }{ -5 }\]
\[m=1\]
Now use one of the points and plug it into the point-slope form equation.
\[y-y_1=m(x-x_1)\]
\[y-6=1(x-3)\]
Then solve for Y
\[y=x+3\]