Question

point b is the midpoint of ac. point a has coordinates (-3,4), and point c has coordinates (15,12). what are the coordinates of point b? ( , ) submit

Explanation:

Step1: Use midpoint formula

The midpoint formula is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let point $A(-3,4)$ be $(x_1,y_1)$ and point $C(15,12)$ be $(x_2,y_2)$.

Step2: Calculate x - coordinate

For the x - coordinate: $\frac{-3+15}{2}=\frac{12}{2} = 6$.

Step3: Calculate y - coordinate

For the y - coordinate: $\frac{4 + 12}{2}=\frac{16}{2}=8$.

Answer:

$(6,8)$