Respuesta :

The mid-point of  (1,5) and (-4,-5) is [tex](-\frac{3}{2}, 0)[/tex]

Step-by-step explanation:

The mid-point is calculated using the coordinates of the given points

The formula for mid-point M is given by:

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

Given

(x1,y1) = (1,5)

(x2,y2) = (-4,-5)

[tex]So\\M(x,y) = (\frac{1-4}{2}, \frac{5-5}{2})\\=(\frac{-3}{2} , \frac{0}{2}\\=(-\frac{3}{2}, 0)[/tex]

Hence,

The mid-point of  (1,5) and (-4,-5) is [tex](-\frac{3}{2}, 0)[/tex]

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

  • brainly.com/question/12685482
  • brainly.com/question/12639288

#LearnwithBrainly