Directions: Determine the coordinates of the indicated points.
2.Given three collinear points A, B, and C, determine the coordinates of C if
A(−1, −3), B(3,4) where point B is halfway between points A and C. (Note:
Collinear points are points which lie on the same line)
2.Given three collinear points A, B, and C, determine the coordinates of C if
A(−1, −3), B(3,4) where point B is halfway between points A and C. (Note:
Collinear points are points which lie on the same line)
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Answer: C(7,11)
Step-by-step explanation: The coordinates of endpoint C can be solved using the midpoint formula. Please see attached photo for solution. As computed, the coordinates of C are 7 and 11.
For checking, just simply substitute, where: x1,y1 = -1,-3 => A's coordinates
x2,y2 = 7,11 => C's coordinates
Remember that the midpoint is B(3,4).
= [ (x1+x2)/2 , (y1+y2)/2 ]
= [ (-1+7)/2 , (-3+11)/2 ]
= [ (6/2), (8/2) ]
= (3,4) => B's coordinates