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
