Question #9a12e

2 Answers
Sep 25, 2016

M(x/2 ; (y-3)/2)

Explanation:

The midpoint is found from finding:

"The average of the x-values and the average of the y-values"

As a formula : M((x_1+x_2)/2 ; (y_1+y_2)/2)

From the given points V(-2,-6) and W(x+2, y+3)

M((-2+x+2)/2 ; (-6+y+3)/2)

M(x/2 ; (y-3)/2)

Sep 25, 2016

Midpoint Formula for two points (x_1,y_1) and (x_2,y_2) is as follows
((x_1 + x_2)/2 , (y_1 + y_2)/2)

Something like you're averaging the two points' x- and y-values.

Inserting given values we get the coordinates of the midpoint as
((-2 + (x+2))/2 , (-6 + (y+3))/2)
=>(x/2 , ( y-3)/2)