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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