Question

Write an equation of a line that passes through the points (2,3) and (2,-6).

Answer 1

\[slope = \frac{ rise }{ run } = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]when given points (x1, y1) and (x2, y2)
so plug in x1=2 , y1=3 , x2=2 , y2=-6

Answer 2

if you get a zero in the denominator, then that means the line is vertical
therefore is an x = (something)
then you can figure that (something) out by looking at one of the given point's x-coordinate
like (2, 3)
^ x = 2