Question

. has endpoints B(5, 9) and C(–4, –3). Find the coordinates of the midpoint of . (0.5, 1.5) (1, 3) (0.5, 3) (1, 6)

Answer 1

(0.5,3)

Explanation:

Hi there!

We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.

The midpoint formula is given as (
`(x_(1)+x_(2) )/(2)`,
`(y_(1)+y_(2))/(2)`), where
`x_(1)`,
`x_(2)`,
`y_(1)`, and
`y_(2)` are values of coordinate points

to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint

`x_(1)`=5

`y_(1)`=9

`x_(2)`=-4

`y_(2)`=-3

now substitute into the formula

so to find the value x in the midpoint, we'll use this part of the formula:
`(x_(1)+x_(2) )/(2)`

substitute 5 and -4 into the formula

`(5+-4)/(2)`

do the addition on the numerator

`(1)/(2)` or 0.5

now let's find the value of y in the midpoint. we'll use this part of the formula:
`(y_(1)+y_(2))/(2)`

substitute 9 and -3 into the formula

`(9+-3)/(2)`

do the addition on the numerator

`(6)/(2)` or 3

Therefore the midpoint is (0.5,3)

Hope this helps! :)