Question

Find the midpoint of A and B where A has coordinates (-5, 3)
and B has coordinates (3,-1).​

Answer 1

(-1,1)

Explanation:

The midpoint of a line can be found using the following formula:

`(x_m, y_m) = ((x_1+x_2)/(2), (y_1+y_2)/(2))`

Basically, to find the midpoint, add the x-coordinates and divide by 2, then add the y coordinates and divide by 2.

X-coordinate

Add the x-coordinates of A and B, then divide by 2.

The x-coordinates are the numbers that comes first in the points.

A: (-5,3)

B: (3, -1)

The x coordinates are -5 and 3.

Add the x-coordinates.

-5+3=-2

Divide by 2

-2/2=-1

The x-coordinate of the midpoint is -1.

Y-coordinate

Add the y-coordinates of A and B, then divide by 2.

The y-coordinates are the second numbers in the points.

A: (-5,3)

B: (3,-1)

The y-coordinates are 3 and -1.

Add the y-coordinates.

3+-1=2

Divide by 2.

2/2=1

The y-coordinate of the midpoint is 1.

If the x-coordinate is -1 and the y-coordinate is 1, the midpoint is (-1,1)

Answer 2

(-1,1)

Explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-5+3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(3+-1)/2 = 2/2 = 1

(-1,1)