Question

if y(7, -2) is reflected in the line y = -x, what are the coordinates of y?

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the line $y = -x$, the transformation rule is $(x,y)\to(-y,-x)$.

Step2: Apply rule to point $Y(7,-2)$

Here $x = 7$ and $y=-2$. Using the rule, we get $(-(-2),-7)$.

Step3: Simplify the coordinates

$-(-2)=2$, so the new - coordinates are $(2,-7)$.

Answer:

$(2,-7)$