Question

What is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5,9.1)?

Answer 1

(-3, 1.5)....simply add the x coordinates together, divide them by two, and then do the same for the y coordinates.

Answer 2

The mid-point of the line segment will be $(-3,\ \frac{3}{2})$.

What is mid-point of the line segment ?

Mid-point of the line segment Two points on a line, and all the points between those two points.

Mid-point formula; $\frac{x_{1}+x_{2} }{2},\ \frac{y_{1}+y_{2} }{2}$

We have,

Endpoints, $(-5.5, -6.1)$ and $(-0.5,9.1)$.

i.e.

$x_{1}=-5,\ x_{2}=-0.5,\ y_{1}=-6.1,\ y_{2}=9.1$

So,

Using the Mid-point formula; $\frac{x_{1}+x_{2} }{2},\ \frac{y_{1}+y_{2} }{2}$

Now substitute values of x and y;

$\frac{x_{1}+x_{2} }{2},\ \frac{y_{1}+y_{2} }{2}$

$=\frac{-5.5+(-0.5) }{2},\ \frac{-6.1+9.1}{2}$

$=\frac{-6 }{2},\ \frac{3}{2}$

$=-3,\ \frac{3}{2}$

So, the  Mid-point of given endpoints is $(-3,\ \frac{3}{2})$.

Hence, we can say that the mid-point of the line segment will be $(-3,\ \frac{3}{2})$.

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