Question

The coordinates of points A and B are A (4, 7) and B (24, 22). Which are the

coordinates of a point that partitions segment AB in a ratio of 2:3?

Answer 1

To find the coordinates of a point that partitions segment AB in a ratio of 2:3, we can use the section formula. The coordinates of the partition point are (10.4, 17.8).

Step-by-step explanation:

To find the coordinates of a point that partitions segment AB in a ratio of 2:3, we can use the section formula. The formula is:

x = (m1 x2 + m2 x1) / (m1 + m2)

y = (m1 y2 + m2 y1) / (m1 + m2)

Plugging in the coordinates and ratios, we can calculate the coordinates of the partition point:

x = (2 * 24 + 3 * 4) / (2 + 3) = 52/5 = 10.4

y = (2 * 22 + 3 * 7) / (2 + 3) = 89/5 = 17.8

Therefore, the coordinates of the point that partitions segment AB in a ratio of 2:3 are (10.4, 17.8).

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