Question

if a point (7,2) is reflected over the line $y=2$, what are the coordinates of the reflected point?
○ (7, 2)
○ (-7, 2)
○ (2, 7)
○ (7, -2)
question 6 10 pts
if the point (4,-3) is reflected over the y-axis, what are the coordinates of the image?
○ (3, -4)
○ (-4, 3)
○ (4, 3)
○ (-4, -3)

Explanation:

Step1: Analyze first reflection line

The line $y=2$ is horizontal. The point $(7,2)$ lies on this line, since its y-coordinate equals 2. A point reflected over a line it lies on remains unchanged.

Step2: Analyze second reflection rule

Reflecting over the y-axis uses the rule: $(x,y) \to (-x,y)$. For the point $(4,-3)$, substitute $x=4$ into the rule.
<Expression>$(4,-3) \to (-4,-3)$</Expression>

Answer:

1. (7, 2)
2. (-4, -3)