Question

graph the image of n(9, -1) after a reflection over the line y = x.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the line $y = x$, the coordinates are swapped. The rule is $(x,y)\to(y,x)$.

Step2: Apply rule to point N

Given point $N(9,- 1)$, swapping the $x$ and $y$ - coordinates gives $N'(-1,9)$.

Answer:

The coordinates of the image of $N(9,-1)$ after reflection over the line $y = x$ is $(-1,9)$. To graph it, plot the point $(-1,9)$ on the given coordinate - grid.