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Manny drew point A located at (-8,-9) and point C located at (0, -3). What is the y coordinate of point B that bisects AC? 10 POINTS​

Manny Drew Point A Located At 89 And Point C Located At 0 3 What Is The Y Coordinate Of Point B That Bisects AC 10 POINTS class=

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The y-coordinate of point B that bisects AC is 3.

Let be B a point that bisects the line segment AC, that is, a point that divides the line segment into two parts with equal length. Mathematically speaking, we get the location of that point by midpoint formula:

[tex]B(x,y) = \frac{1}{2}\cdot A(x,y) + \frac{1}{2}\cdot C(x,y)[/tex] (1)

If we know that [tex]A(x,y) = (-8, 9)[/tex] and [tex]C(x,y) = (0, -3)[/tex], then the coordinates of point B are, respectively:

[tex]B(x,y) = \frac{1}{2}\cdot (-8,9) + \frac{1}{2}\cdot (0, -3)[/tex]

[tex]B(x,y) = (-4, 4.5) +(0,-1.5)[/tex]

[tex]B(x,y) = (-4, 3)[/tex]

The y-coordinate of point B that bisects AC is 3.

We kindly invite to check this question on midpoints: https://brainly.com/question/17506315

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