Question

What is the image of (7,8) after a reflection over the line y = –x

Answer 1

Answer:

(-7. -8) Just flip the signs.

Answer 2

Answer:

$\boxed {\boxed {\sf (-8,-7)}}$

Step-by-step explanation:

When a point is reflected over y=-x, the following change occurs:

$(x,y)$    ⇒  $(-y, -x)$

We are given the point (7,8).

Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.

1. Change the signs

$(7,8)$    ⇒    $(-7,-8)$

2. Flip the x and y coordinates

$(-7,-8)$   ⇒    $(-8,-7)$

So the image of (7,8) after a reflection over y=-x is (-8,-7)