Question

The midpoint of A (-4, 2) and B(8,5) is
O (2,7/2)
O (-6, 3/2)
O (4,7/2)

Answer 1

(2,
`(7)/(2)`)

Explanation:

Hi there!

We want to find the midpoint of (-4,2) and (8,5)

To do that, we'll use the midpoint formula, which will find the midpoint using the formula (
`(x_1+x_2)/(2)`,
`(y_1+y_1)/(2)`), where
`(x_1, y_1)` and
`(x_2, y_2)` are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion

`x_1`=-4

`y_1`=2

`x_2`=8

`y_2`=5

Now substitute those values into the formula and solve

To find the value of the x-coordinate of the midpoint, use
`(x_1+x_2)/(2)`

x=
`(-4+8)/(2)`

Add the numbers together on the numerator

x=
`(4)/(2)`

Divide

x=2

The value of the x-coordinate is 2

Now find the value of the y coordinate by using
`(y_1+y_1)/(2)`

y=
`(2+5)/(2)`

Add the numbers together on the numerator

y=
`(7)/(2)`

So the point is (2,
`(7)/(2)`)

Hope this helps!

Answer 2

(2,7/2)

Explanation:

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

(-4+8) /2 = 4/2 =2

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

(2+5) /2 = 7/2 =

The midpoint is (2,7/2)