I am unable to get the answer

Question

Give that the coordinates of the points P and Q are (-2,6) and (9,3) respectively find

a) the coordinates of the point R that lies on the y-axis such that PR=QR,

b) the coordinates of the point S that lies on the x-axis such that PS=QS

Answer 1

I will not do this for you, but I will tell you what must be done.

Since PR = QR, the point R must lie on the perpendicular bisector of PQ.

Find the mid point of PQ.(1/2 the sum of each co-ordinate).

Find the slope of the line through PQ using the 2 point formula.

Find the equation of the line with this slope through the midpoint of PQ.

Find the value of y on in this equation when x=0.--- this is R

The method for the point S follows the same logic.