find the coordinates of the point which divides the line segment joining the points (4, -3) and (8.5) in the ratio 3:1 internally

The coordinates of the division point are (7, 3)

Step-by-step explanation:

The coordinates of the point (x, y) which divides a segment with endpoints (x1, y1) and (x2, y2) at a ratio m1: m2 internally is ( , ).

∵ The line segment joining the points (4, -3) and (8, 5)

∴ x1 = 4 and x2 = 8

∴ y1 = -3 and y2 = 5

∵ The point divides the segment at ratio 3: 1

∴ m1 = 3 and m2 = 1

→ By using the rule above

∵ x = = =

∴ x = 7

∵ y = = =

∴ y = 3

∴ The coordinates of the division point are (7, 3)

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step-by-step explanation: