Question

Find the coordinates of the point (-5,7) when it is reflected across the line y=11.

Answer 1

Use mid point formula.

Answer 2

But don't you need more than one coordinate?

Answer 3

mirror being mid point of the line joining the two points.
\[\left\{ -5,11 \right\}\]
now
\[-5=\frac{x2-x1 }{ 2 }\]
and
\[11=\frac{ y2-y1 }{ 2 }\]

Answer 4

you know x1 and y1 find x2 and y2

Answer 5

Did you get it .

Answer 6

I completely understand what you're saying, but I honestly have no idea how to solve for x2 and y2. I remember learning this, but I haven't used it in 2 years.

Answer 7

did you get the idea behind mid point

Answer 8

Yes I do!

Answer 9

Then take the given point as the first point in the case i.e
(-5,7)

Answer 10

now use x1=-5 and y1=7

Answer 11

now use the formula that I have already posted

Answer 12

Wait, so wouldn't it be (-5,-7)?

Answer 13

Nevermind, let me resolve quick.

Answer 14

did you get is answer as (-5,15). If not I can give us an another approach