Question

Find the coordinates for the mid point with endpoints (3,5) and (-2,0)

Answer 1

Hello!

The answer is:

The coordinates of the midpoint are:

$x-coordinate=0.5\\y-coordinate=2.5$

Why?

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

$MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

We are given the points:

$(3,5)$

and

$(-2,0)$

Where,

$x_{1}=3\\y_{1}=5\\x_{2}=-2\\y_{2}=0$

So, calculating the midpoint, we have:

$MidPoint=(\frac{3+(-2)}{2},\frac{5+0}{2})$

$MidPoint=(\frac{1}{2},\frac{5}{2})$

$MidPoint=(0.5,2.5)$

Hence, we have that the coordinates of the midpoint are:

$x-coordinate=0.5\\y-coordinate=2.5$

Have a nice day!