Q) Given that A is the point (5,7) and B is the point (6,1). The line AB is rotated through 90 degrees clockwise about B. Find the equation of the imageof the line AB.
Please answer the following question.
As the new line is rotated about point B the point B lies on the new line.
Also as the line is rotated 90o the new line is perpendicular to the old line.
Thus (slope of the new line) = -1/(slope of old line)
Find the slope of the old line using the 2 points given and hence find the slope of the new line.
The equation of the new line can be found using the slope-point equation of a line.