Question

directions: find the coordinates of the midpoint of the segment given its endpoints.

1. a(5, 8) and b(-1, -4)

xm = \frac{5 + - 1}{2}=\frac{4}{2}=2
ym = \frac{8 + - 4}{2}=\frac{4}{2}=2 (2,2)

1. m(-5, 9) and n(-2, 7)
2. p(-3, -7) and q(3, -5)
3. f(2, -6) and g(-8, 5)

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: For points $M(-5,9)$ and $N(-2,7)$

$x_m=\frac{-5+( - 2)}{2}=\frac{-7}{2}=-3.5$
$y_m=\frac{9 + 7}{2}=8$

Step3: For points $P(-3,-7)$ and $Q(3,-5)$

$x_m=\frac{-3 + 3}{2}=0$
$y_m=\frac{-7+( - 5)}{2}=\frac{-12}{2}=-6$

Step4: For points $F(2,-6)$ and $G(-8,5)$

$x_m=\frac{2+( - 8)}{2}=\frac{-6}{2}=-3$
$y_m=\frac{-6 + 5}{2}=-\frac{1}{2}=-0.5$

Answer:

1. $(-3.5,8)$
2. $(0,-6)$
3. $(-3,-0.5)$