Question

Given the formula x, + x2 y + y2 2 2 and the points (-2,3) and (6,-1). What is the midpoint between the two points? ) Round your answer to the nearest tenth if necessary.

Answer 1

The formula is

`((x_1+x_2)/(2),(y_1-y_2)/(2))`

The coordinates for both given points are

(-2,3)

(6,-1)

To calculate the distance between both points I'll call Point 1 (6,-1) and Point 2 (-2,3)

Then for Point 1 the x-xoordinate is x1=6 and the y-coordinate is y1=-1

For point 2 the x-coordinate is x2=-2 and the y-coordinate is y2=3

Replace the given formula with the given information:

`((x_1-x_2)/(2),\frac{y_1-y_2_{}}{2})=((6-(-2))/(2),(-1-3)/(2))=(4,-2)`

The coordinates for the midpoint are (4,-2)