The point P has coordinates (3,4) and the point Q has coordinates (8,14). The point R divides PQ internally in the ratio 2 : 3 . The point S has coordinates (9,5). Find the equation of

The points P(3, –2), Q(10, –2), and R(3, –8) are the vertices of a triangle. What is the approximate length of side RQ?

4. Find a point on PQ which divides it in the ratio 1:3

The coordinates of the end points A and B of line segment AB are given by (2,3) and (7,11). If P and Q are points on AB such that AP=PQ=QB, what is the sum of the x-coordinates of the points P and Q?

A(2, 4) and B(8, 12) are two ends of a line segment. Find the point which divides AB internally in the ratio 1:3

Line q passes through points (2, 17) and (4, 8). Line r is perpendicular to q. What is the slope of line r?