Question

persevere a point in the second quadrant with coordinates (-a, b) is reflected in the line y = -x. what are the coordinates of the image?

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ in the line $y = -x$ is $(x,y)\to(-y,-x)$.

Step2: Apply the rule

Given the point $(-a,b)$, substitute $x=-a$ and $y = b$ into the rule. We get $(-b,a)$.

Answer:

$(-b,a)$