Question

What is the midpoint of a line segment with the endpoints (-4,-3) and (7,-5)?O A. (-3.5, 1)B. (1,-3.5)C. (-4, 1.5)D. (1.5, -4)

Answer 1

To calculate the midpoint, we just need to calculate the mean for each coordinate.

Given the set of points

`\lbrace(x_1,y_1),(x_2,y_2)_{}\rbrace`

The coordinate of the midpoint is given by

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

Now, let's calculate the midpoint for our set of points

`\lbrace(-4,-3),(7,-5)\rbrace`

The midpoint is:

`((-4+7)/(2),(-3-5)/(2))=(1.5,-4)`