Which ordered pair is on the graph of the function? a. (2, 1) b. (4, 2) c. (3, -7) d. (5, 10)
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Answer:
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, <em>the coordinates of point B are (-2, 2)</em>.