Question

what line of reflection will give an image with point a at (-4,5)? x=-3 y=-4 y=x y=-x

Explanation:

Step1: Recall reflection formula for $y = -x$

The formula for reflecting a point $(x,y)$ over the line $y=-x$ is $(-y,-x)$.

Step2: Apply the formula to point $A(-4,5)$

For point $A(-4,5)$, when reflected over $y = -x$, we substitute $x=-4$ and $y = 5$ into the formula. The new - x - coordinate is $-y=-5$ and the new - y - coordinate is $-x = 4$. So the image of $A(-4,5)$ after reflection over $y=-x$ is $( - 5,4)$.

Answer:

$y=-x$