Question

The points P(3,p) and Q(q,5) represent the same pointR. What are the respective values of p and q?​

Answer 1

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the

points (x1,y1) and (x2,y2) internally

in the ratio m:n, then (x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Substituting (x1,y1)=(4,−3) and (x2,y2)=(−1,7)  and m=3,n=2 in the section formula, we get

the abscissa of the point (3+23(−1)+2(4))=1