Question

given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E then plot E​

Answer 1

The coordinates of point E is (-2, -1.5)

How to determine the coordinates of point E?

The complete question is added as an attachment

The given parameters are

C = (1, 6)

D = (-3, -4)

The ratio 3/4 can be represented as:

m : n = 3 : 1

So, the coordinate of point E is

E = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)

Evaluate

E = 1/(4) * (-8, -6)

This gives

E = (-2, -1.5)

Hence, the coordinates of point E is (-2, -1.5)

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