Question

A segment has endpoints A(-3,5) and B(2,1) find the midpoint M of the segment

Answer 1

Answer:

The midpoint of the given segment is (-0.5, 3)

Step-by-step explanation:

The formula for mid-point is $\left(\frac{x_{1}+x_{2}}{2}\right) \text { and }\left(\frac{y_{1}+y_{2}}{2}\right)$

Now, from the given question endpoints A (-3,5) and B (2,1)

We know that $x_{1}=-3 \text { and } x_{2}=2 \text { and } y_{1}=5 \text { and } y_{2}=1$

Substituting the values in the mid-point formula we get

x-coordinate is $\left(\frac{x_{1}+x_{2}}{2}\right)=\left(\frac{-3+2}{2}\right)=\frac{-1}{2}=-0.5$

y-coordinate is $\left(\frac{y_{1}+y_{2}}{2}\right)=\left(\frac{5+1}{2}\right)=\frac{6}{2}=3$

Hence, midpoint of the given endpoints is (-0.5,3) Thus we found the midpoint of the segment of the given end points.

Answer 2

Answer:

Yes

Step-by-step explanation: