Respuesta :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf (-1, -\frac{5}{2} ) \ or \ (-1, -2.5) }}[/tex]

Step-by-step explanation:

We are asked to find the midpoint of a line segment. The midpoint bisects the line segment, or divides it into 2 equal parts. We find the midpoint by finding the average of the x-coordinates, then the y-coordinates.

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

The endpoints are (-9, 3) and (7, -8). Match the value and the corresponding variable.

  • x₁= -9
  • y₁ = 3
  • x₂ = 7
  • y₂ = -8

Substitute the values into the formula.

[tex](\frac {-9+7}{2}, \frac{3 + -8}{2})[/tex]

Solve the numerators.

  • -9+7 = -2
  • 3+ -8 = -5

[tex]( \frac{-2}{2}, \frac {-5}{2} )[/tex]

Divide.

[tex](-1, - \frac{5}{2} )[/tex]

The fraction can be written as a decimal.

[tex](-1,-2.5)[/tex]

The midpoint of the line segment is (-1, -5/2) or (-1, -2.5)

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