Question

to find the length of $overline{ab}$, with endpoints $a(-7, 5)$ and $b(4, -6)$, you can use the distance formula midpoint formula segment bisector segment addition postulate

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-7,y_1 = 5,x_2 = 4,y_2=-6$.

Step2: Identify the correct formula for length of segment

To find the length of a line - segment with given endpoints, we use the distance formula. The mid - point formula gives the mid - point of a segment, the segment bisector is a line that divides the segment into two equal parts and the segment addition postulate is about the relationship between parts of a segment on the same line.

Answer:

Distance Formula