Question

midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})
find the midpoint coordinates with the endpoints shown.
15 a (5, 3) and b (3, -1)
m = (
16 c (10, 7) and d (-8, -4)
m = (

Explanation:

Step1: Identify values for A(5,3) and B(3,-1)

Let $(x_1,y_1)=(5,3)$ and $(x_2,y_2)=(3, - 1)$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{x_1 + x_2}{2}=\frac{5 + 3}{2}=\frac{8}{2}=4$

Step3: Calculate y - coordinate of mid - point

$y=\frac{y_1 + y_2}{2}=\frac{3+( - 1)}{2}=\frac{3 - 1}{2}=\frac{2}{2}=1$
So the mid - point for A and B is $(4,1)$.

Step4: Identify values for C(10,7) and D(-8,-4)

Let $(x_1,y_1)=(10,7)$ and $(x_2,y_2)=(-8,-4)$.

Step5: Calculate x - coordinate of mid - point

$x=\frac{x_1 + x_2}{2}=\frac{10+( - 8)}{2}=\frac{10 - 8}{2}=\frac{2}{2}=1$

Step6: Calculate y - coordinate of mid - point

$y=\frac{y_1 + y_2}{2}=\frac{7+( - 4)}{2}=\frac{7 - 4}{2}=\frac{3}{2}=1.5$
So the mid - point for C and D is $(1,1.5)$

Answer:

1. $(4,1)$
2. $(1,1.5)$