Question

If M is the midpoint of XY, find the coordinates of Y if X(-1,-3) and M(0.5,-1.6)

Answer 1

Answer:

The coordinates of Y are (2,-0.2)

Step-by-step explanation:

Let the coordinates of Y be (x,y)

Since M is the midpoint of XY, so

$M_{x} =\frac{X_{x}+Y_{x}}{2}$

$0.5 =\frac{-1+Y_{x}}{2}$

Multiply both sides by 2

$0.5*2 =\frac{-1+Y_{x}}{2}*2$

Cancel out the 2's from the top and bottom on the right side

$1 =-1+Y_{x}$

Add 1 to both sides

$1+1 =-1+Y_{x}+1$

Cancel out -1 and +1 on the right side

$2 =Y_{x}$

Flip the sides

$Y_{x}=2$

Similarly,

$M_{y} =\frac{X_{y}+Y_{y}}{2}$

$-1.6 =\frac{-3+Y_{y}}{2}$

Multiply both sides by 2

$-1.6*2 =\frac{-3+Y_{y}}{2}*2$

Cancel out the 2's on the top and bottom of the right side

$-3.2 =-3+Y_{y}$

Add 3 to both sides

$-3.2+3 =-3+Y_{y}+3$

Cancel out -3 and +3 on the right side

$-0.2 =Y_{y}$

Flip the sides

$Y_{y}=-0.2$

So, the coordinates of Y are (2,-0.2)