Question

find the midpoint, m, of ab. a = (-7, 9) b = (-5, 3) m = ((x1 + x2)/2, (y1 + y2)/2) m = (?, )

Explanation:

Step1: Identify x - coordinates

Let $(x_1,y_1)=(-7,9)$ and $(x_2,y_2)=(-5,3)$. The formula for the x - coordinate of the mid - point is $x=\frac{x_1 + x_2}{2}$. Substitute $x_1=-7$ and $x_2=-5$: $x=\frac{-7+( - 5)}{2}=\frac{-7 - 5}{2}=\frac{-12}{2}=-6$.

Step2: Identify y - coordinates

The formula for the y - coordinate of the mid - point is $y=\frac{y_1 + y_2}{2}$. Substitute $y_1 = 9$ and $y_2 = 3$: $y=\frac{9 + 3}{2}=\frac{12}{2}=6$.

Answer:

$(-6,6)$