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Line segment AC is given by (-4, -3) and C (6,4).
Find the coordinates of point B such that AB:BC is 3:2.

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Answer:

Step-by-step explanation:

3/(3+2) = 3/5

B is 3/5 of the distance from A to C.

Interpolate the coordinates of B:

Difference of x-coordinates = 6-(-4) = 10

3/5 of 10 = 6

x-coordinate of B = (x-coordinate of A) + 6 = -4 + 6 = 2

Difference of y-coordinates = 4-(-3) = 7

3/5 of 7 = 21/5

y-coordinate of B = (y-coordinate of A) + 21/5 = 6/5

B(2, 6/5)

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