Point C(5,3) divides the line segment joining points A(-2,-10) and B(x,y)such that AC:CB 4:2.
What are the coordinates of point B?

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Answer:

Step-by-step explanation:

AC:CB = 4:2 = 2:1

difference of x-coordinates of A and C = 5-(-2) = 7

difference of y-coordinates of A and C = 3-(-10) = 13

Extrapolate from C to get the coordinates of B:

5 + 7/2 = 8.5

3 + 13/2 = 9.5

B(8.5, 9.5)