Question

In the standard (x, y) coordinate plane, point A is located at (4, 3) and point Bis

located at (1, -2). If point B is the midpoint of segment AC, what are the coordinates
of point C?
a) (-3,-5)
b) (-2,-7)
d) (5)

Answer 1

To find the coordinates of point C, we use the midpoint formula. The coordinates of point C are (-3, -5).

Step-by-step explanation:

To find the coordinates of point C, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (B) can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints (A and C).

Let's use this formula to solve the problem:

(xB, yB) = ((xA + xC)/2, (yA + yC)/2)

Plugging in the known values, we have:

(1, -2) = ((4 + xC)/2, (3 + yC)/2)

By solving the equations, we find that the coordinates of point C are (-3, -5).

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