Respuesta :
[tex]M(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\M(\frac{-1 + 3}{2}, \frac{6 + (-2)}{2}) \\ M(\frac{2}{2}, \frac{6 - 2}{2}) \\ M(1, \frac{4}{2}) \\ M(1, 2)[/tex]
The midpoint M of DE is at (1, 2) if DE has endpoints D(-1,6)and E(3,-2)
Midpoint of a line is the point that bisects or divides the line into two equal parts.
The formula for calculating the midpoint given the coordinate points D(-1,6)and E(3,-2) is expressed as:
[tex]M(X, Y) = (\frac{x_1+x_2}{2},\frac{y_1_y_2}{2} )[/tex]
X = -1+3/2
X = 2/2
X = 1
Similarly:
Y = 6+(-2)/2
Y = 6-2/2
Y = 4/2
Y = 2
Hence the midpoint M of DE is at (1, 2)
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