Question

(-10,2) (-5,-1) find mid point

Answer 1

The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

We have two coordinate points -  A(- 10, 2)  and  B(- 5, -1)

We have to find the midpoint of this line AB.

What is Mid - Point Theorem?

It states that a line with endpoint coordinates as - $(x_{1} ,y_{1} )$ and $(x_{2} ,y_{2} )$ has its mid - point at the coordinates -

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

According to question, we have -

First coordinate Point -  $(x_{1} ,y_{1} )$ = (- 10, 2)

Second coordinate Point - $(x_{2} ,y_{2} )$ = (- 5, - 1)

Using the Mid - Point formula, we get -

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

$x_{M} = \frac{-10-5}{2} = \frac{-15}{2} = - 7.5\\\\y_{M} = \frac{2 - 1}{2} = \frac{1}{2} = 0.5$

Hence, the Mid - point of the line segment is at coordinates -

M(- 7.5, 0.5)

To solve more questions on Mid - points, visit the link below -

brainly.com/question/25377004

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