Question

How do you find the midpoint of the line segment joining (3,5) and (-2,-4)?

Answer 1

Midpoint: `color(green)(""(1/2,1/2))`

Explanation:

The midpoint of a pair of coordinates`(x_A,y_A)`and `(x_B,y_B)` is
`color(white)("XXX")("midpoint of "x " range"," midpoint of " y " range")=((x_A+x_B)/2,(y_A+y_B)/2)`

The midpoint of a range is simply the average of the range's two end values.

Therefore the midpoint of `(3,5):(-2,-4)` is
`color(white)("XXX")((3+(-2))/2, (5+(-4))/2)=(1/2,1/2)`