How do you find the equation in slope-intercept form of the line that is perpendicular to AB and passes through the midpoint of AB. Let A = (-6,2) and B = (4,-10)?
The mid point is the mean value as you read left to right on the x-axis.
Let the mean point be
Let the gradient of the line between
Note that the gradient of the perpendicular line will be
We read from
We know that this passes through the point
So by substitution into