Question

What's 1/4 of the way between point (-5,6) and point (7,2)

Answer 1

(-2, 5) or x = -2, y = 5.

Explanation:

Using the Midpoint formula:

M =
`((x_(1)+ x_(1) )/(2), (y_(1)+ y_(1) )/(2))`

and using the coordinates in your given question:

(-5, 6) and (7, 2):

The midpoint (or halfway point) between (-5, 6) and (7, 2) is:

M =
`((-5 + 7 )/(2), (2+ 6)/(2))` =
`((2)/(2) , (8)/(2) ) = (1, 4)`

To determine what is 1/4 of the way between points (-5, 6) and (7, 2), we can use Midpoint Formula to find the halfway point between one (-5, 6) and (1, 4):

M =
`((x_(1)+ x_(1) )/(2), (y_(1)+ y_(1) )/(2))`

M =
`((-5 + 1 )/(2), (6+ 4)/(2)) = ((-4)/(2), (10)/(2))` = (-2, 5).

Therefore, the 1/4 of the way between points (-5, 6) and (7, 2) is (-2, 5).