Question

find the midpoint of the line segment joining points a and b. a(6, - 5); b(4,3)
the midpoint of the line segment is . (type an ordered pair.)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here $x_1 = 6,y_1=-5,x_2 = 4,y_2 = 3$.

Step3: Calculate x - coordinate of mid - point

$\frac{x_1+x_2}{2}=\frac{6 + 4}{2}=\frac{10}{2}=5$.

Step4: Calculate y - coordinate of mid - point

$\frac{y_1+y_2}{2}=\frac{-5 + 3}{2}=\frac{-2}{2}=-1$.

Answer:

$(5,-1)$