Question

Segment GH is shown on the graph.

Answer 1

The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)

How to determine the coordinate?

The points are given as:

G = (-4,3)

H = (-1,-4)

Ratio, m : n = 3 : 2

The coordinate of the point is calculated using:

$(x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)$

This gives

$(x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)$

Evaluate

$(x,y) = \frac{1}{5} * (-11, -6)$

Evaluate the product

(x,y) = (-2.2, -1.2)

Hence, the coordinate of the point is (-2.2, -1.2)

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