OliverKruszelnicki OliverKruszelnicki
  • 08-03-2020
  • Mathematics
contestada

Find the midpoint of the line segment with end coordinates of:
(-4,-2) and (2,-10)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 16-03-2020

Answer:

(-1,-6)

Step-by-step explanation:

Recall the midpoint formula;

[tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

The end coordinates are; (-4,-2) and (2,-10).

Let

[tex](x_1=-4,y_1=-2)[/tex]

and

[tex](x_2=2,y_2=-10)[/tex]

We substitute the points to get:

[tex]( \frac{ - 4 + 2}{2} , \frac{ - 2 + - 10}{2} )[/tex]

This simplifies to:

[tex]( \frac{ - 2}{2} , \frac{ - 12}{2} )[/tex]

[tex]( - 1 , - 6)[/tex]

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