Question

Find the midpoint of the segment with the following endpoints (-1,3) and (6,-2)

Answer 1

(5/2, 1/2)

Explanation:

the midpoint formula is

(x1 + x2/2) , (y1 + y2/2) <-- both the x1 and y1 coordinates also are divided by 2

so to solve for the midpoint, we take our endpoints and plug it into the formula

we will list the coordinates as the following to plug it into the formula:

x coordinate 1 = -1

x coordinate 2 = 6

y coordinate 1 = 3

y coordinate 2 = -2

substituting these values into the formula we get this:

x =(-1 + 6/2) , y = (3 + -2/2)

x = -1 + 6 = 5/2

we cant simplify 5/2 any further, so 5/2 is our x coordinate for the midpoint

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

1/2 is already simplified, so 1/2 is our y coordinate for the midpoint

in an ordered pair it would be (5/2, 1/2)

Answer 2

(5/2 and 1/2)

Explanation:

x1,y1=(-1,3) x2,y2=(6,-2)

6-1/2,-2+3/2

= 5/2 and 1/2

Hope this helps