Question

section 1.3
i can find a midpoint given a segment or given 2 points.
the endpoints of segment ab are given. find the midpoint m.

1. a(5,6) and b(9,4)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify coordinates

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

Step3: Calculate x - coordinate of mid - point

$x=\frac{5 + 3}{2}=\frac{8}{2}=4$.

Step4: Calculate y - coordinate of mid - point

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

Answer:

$(4,5)$