Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Using the Midpoint formula:

M = $(\frac{x_{1}+ x_{1} }{2}, \frac{y_{1}+ y_{1} }{2})$

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 = $(\frac{-5 + 7 }{2}, \frac{2+ 6}{2})$  = $(\frac{2}{2} , \frac{8}{2} ) = (1, 4)$

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 = $(\frac{x_{1}+ x_{1} }{2}, \frac{y_{1}+ y_{1} }{2})$

M = $(\frac{-5 + 1 }{2}, \frac{6+ 4}{2}) = (\frac{-4}{2}, \frac{10}{2})$  = (-2, 5).

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