Given:
The given points are A(-6x,4y) and B(-2x,-4y).
Required:
We need to find the midpoint D.
Explanation:
D is the midpoint of the line segment AB.
Consider the endpoints of the line segment AB.
[tex](x_1,y_1)=(-6x,4y),\text{ and }(x_2,y_2)=(-2x,-4y).[/tex]
Consider the midpoint formula.
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex][tex]Substitue\text{ }x_1=-6x,y_1=4y,x_2=-2z,\text{ and }y_2=-4y\text{ in the formula.}[/tex][tex]M=(\frac{-6x+(-2x)}{2},\frac{4y+(-4y)}{2})[/tex][tex]M=(\frac{-6x-2x}{2},\frac{4y-4y}{2})[/tex][tex]M=(\frac{-8x}{2},\frac{0}{2})[/tex][tex]M=(-4x,0)[/tex]
Final answer:
The midpoint is D(-4x,0).
