PLEASE HELP ME IN THIS

Question

If A has coordinates (2, –1) and B has coordinates (–1, 1), what are the coordinates of the midpoint of  AB ?

Answer 1

(2, -1), (-1, 1) have a midpoint of (1/2, 0)

just average the x coordinates: (2-1)/2 = 1/2

and average the y coordinates: (-1+1)/2 = 0/2 = 0

it may help to plot the points

all 3 will lie on the same line

the line is (1+1)/(-1-2) = -2/3 = (y+1)/(x-2)

cross multiply

-2x +4 = 3y+3

3y = -2x +4 -3

y = (-2/3)x + 1/3

plug in any of the 3 points and they satisfy that equation

midpoint (1/2, 0)

0 = (-2/3)(1/2) + 1/3

0 = -1/3 + 1/3

Answer 2

When given two coordinate points, Use the midpoint formula to find the center point.

Substitute into the formula the values for ( x,y ) of the first and second point. Divide the sums of the x values by 2 and the y values by 2 to the get the midpoint coordinates.