Co-ordinates of the Midpoint of a Segment

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Write the co-ordinates of the point of intersection of graphs of
equations x = 2 and y = -3.

Find the coordinates of midpoint of the segment joining the points (22, 20) and (0, 16).

Find the coordinates of the midpoint of the line segment joining P(0,6) and Q(12,20).

Point P is the midpoint of seg AB. If co-ordinates of A and B are (-4, 2) and (6, 2) respectively then find the co-ordinates of point P.
(A) (-1,2) (B) (1,2) (C) (1,-2) (D) (-1,-2)

Complete the table below the graph with the help of the following graph.

Sr. No.	First point	Second point	Co-ordinates of first point (x₁ , y₁)	Co-ordinates of second point (x₂ , y₂)	`(y_2 - y_2)/(x_2 - x_2)`
1	C	E	(1, 0)	(3,4)	`4/2=2`
2	A	B	(-1,-4)	(0,-2)	`2/1 = 2`
3	B	D	(0,-2)	(2,2)	`4/2=2`

Find th co-ordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).

Find the coordinates of point P if P divides the line segment joining the points A(–1,7) and B(4,–3) in the ratio 2 : 3.

In the following example find the co-ordinate of point A which divides segment PQ in the ratio a : b.
P(–3, 7), Q(1, –4), a : b = 2 : 1

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Co-ordinates of the Midpoint of a Segment

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