Respuesta :

Answer:

The coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)

Step-by-step explanation:

Given

  • P(-5, -1)
  • Q(6, -2)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]

[tex]=\left(\frac{6-5}{2},\:\frac{-2-1}{2}\right)[/tex]

[tex]=\left(\frac{1}{2},\:-\frac{3}{2}\right)[/tex]

Thus, the coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)