If is a square whose diagonals are and , where and , find the slope of .
We know that the slope of a line passing through 2 points and is given by
We also know that the diagonals of a square are perpendicular.
Substitute the coordinates of and to calculate , the slope of .
The slope of is .
We know that if 2 straight lines, and , having slopes and are perpendicular, then .
The slope of is ; let the slope of be .