Answer:
(-3,-6)
Step-by-step explanation:
midpoint formula : [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
where the x and y values derive from the given points
The points given are (-4,-2) and (-2,-10)
The first step is to assign variables
first coordinate : (x1,y1) = (-4,-2) so x1 = -4 and y1 = -2
second coordinate : (x2,y2) = (-2,-10) so x2 = -2 and y2 = -10
Next we plug in these values into the formula
Recall formula : [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
x1 = -4 , x2 = -2 , y1 - 2 and y2 = - 10
plug in values
[tex](\frac{-4+(-2))}{2} ,\frac{-2+(-10)}{2} )[/tex]
simplify numerators : -4 + -2 = -6 and -2 + -10 = -12
[tex](\frac{-6}{2} ,\frac{-12}{2} )[/tex]
simplify fractions : -6/2 = -3 and -12/2 = -6
the midpoint is (-3,-6)
