Question

One endpoint of a line segment has coordinates represented by (x+4,12y) . The midpoint of the line segment is (3,−2) .

Answer 1

Answer:

$(2-x,-4-12y)$ coordinates of other end points.

Step-by-step explanation:

Given:

Let A be the end point whose coordinates which are given and B the other end point which  co ordinates needs to be find.

Coordinates of point A $(x_1,y_1)$= $(x+4,12y)$

Coordinates of point A $(x_2,y_2$= need to be find

Midpoint of Line segment AB = (3,-2)

Midpoint of Line segment = $(\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})$

Solving for x we get ,

$\frac{x+4+x_2}{2}= 3\\\\x+4+x_2=6\\x_2=6-4-x\\x_2=2-x$

Solving for y we get ,

$\frac{12y+y_2}{2}= -2\\\\12y+y_2=-4\\y_2=-4-12y$

Hence $(2-x,-4-12y)$ coordinates of other end points.