We know that the slope, , of a line passing through 2 points and is given by
So, the slope of the line is
We also know that if 2 straight lines, and , having slopes and are perpendicular, then .
So, the slope, , of a straight line perpendicular to can be found using
For straight line graphs,
where is the slope and is the -intercept.
So, the required line is
and it must pass through .
Simplify, rearrange, and solve for .
So, the equation of the line perpendicular to from the point is