Question

ac has endpoints a=(-2,3) and c=(10,9). what would be the y cordinate of point b that bisects ac

Answer 1

hello

point A = -2, 3

Point B = 10, 9

to solve this problem, we'll use formula of mid-point

$x,y=\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}$$\begin{gathered} x_1=-2 \\ x_2=10 \\ y_2=9 \\ y_1=3 \end{gathered}$$\begin{gathered} x=\frac{x_2+x_1}{2} \\ x=\frac{10+(-2)}{2}=\frac{8}{2}=4 \end{gathered}$$\begin{gathered} y=\frac{y_2+y_1}{2} \\ y=\frac{9-3}{2}=\frac{6}{2}=3 \end{gathered}$

the mid-point is 4, 3

the coordinate of point b is (4, 3)do