Question

3.The endpoints of a segment are (-2,4) and (4, 11). Find the the length of the segmenttothe nearest tenth and then find the coordinates of the midpoint.

Answer 1

1) To find the length of the segment. let's use the distance formula, derived from the Pythagorean Theorem.

Plugging into the formula those points we'll have:

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}\text{ }\Rightarrow d\text{ =}\sqrt[]{85}$

2) So now, let's find out the Midpoint, by using another Formula

3) Finally, the midpoint of that segment is located at M=(-1, 15/2)