Question

Find the coordinates of the midpoint D make sure to simplify your answer

Answer 1

Given:

The given points are A(-6x,4y) and B(-2x,-4y).

Required:

We need to find the midpoint D.

Step-by-step explanation:

D is the midpoint of the line segment AB.

Consider the endpoints of the line segment AB.

`(x_1,y_1)=(-6x,4y),\text{ and }(x_2,y_2)=(-2x,-4y).`

Consider the midpoint formula.

`M=((x_1+x_2)/(2),(y_1+y_2)/(2))`
`Substitue\text{ }x_1=-6x,y_1=4y,x_2=-2z,\text{ and }y_2=-4y\text{ in the formula.}`
`M=((-6x+(-2x))/(2),(4y+(-4y))/(2))`
`M=((-6x-2x)/(2),(4y-4y)/(2))`
`M=((-8x)/(2),(0)/(2))`
`M=(-4x,0)`

Final answer:

The midpoint is D(-4x,0).