Point AAA is at {(2,-8)}(2,−8)left parenthesis, 2, comma, minus, 8, right parenthesis and point CCC is at {(-4,7)}(−4,7)left parenthesis, minus, 4, comma, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC}
AC
start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:12:12, colon, 1.

The coordinates of point B are (-2, 2).

Step-by-step explanation:

Given:

Point A (2,−8)

Point C (−4,7)

Point B divides the line AB such that the ratio AB:BC is 2:1.

To find: The coordinates of point B.

Solution:

We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1

Where is the co-ordinate of the point which  

divides the line segment joining the points and in the ratio .

m = 2

n = 1

As per the given values  

Putting the values in the formula:

So, the coordinates of point B are (-2, 2).

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step-by-step explanation: