Question

Use the midpoint formula to find the midpoint of the given segment on the coordinate plane​

Answer 1

Answer:

Midpoint : (4,3)

Step-by-step explanation:

midpoint = $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

Where the x and y values are derived from the given points.

We are given points H and K which are at (2,2) and (6,4)

We have (x1,y1) = (2,2) so x1 = 2 and y2 = 2

As well as (x2,y2) = (6,4) so x2 = 6 and y2 = 4

To find the midpoint we simply plug in the values of x and y into the formula

Recall the formula $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

x1 = 2 , x2 = 6 , y1 = 2 and y2 = 4

plug in these values into the formula

$(\frac{2+6}{2} ,\frac{2+4}{2} )$

add top values: 2 + 6 = 8 and 2 + 4 = 6

$(\frac{8}{2} ,\frac{6}{2} )$

simplify fractions : 8/2 = 4 and 6/2 = 3

The midpoint is at $(4,3)$

Answer 2

H(2,2) K(6,4)
(2+6/2) (2+4/2)
(8/2) (6/2)
Answer: (4,3)