Question

A line segment from (0, 0) to (4, 6) is reflected across the y-axis. What are the coordinates of the reflected line segment? Group of answer choices (0, 0), (4, -6) (4, 6), (0, 0) (0, 0), (4, 6) (-4, 6), (4, -6)

Answer 1

(0,0),(-4,6)

Step-by-step explanation:

Given

Coordinates: (0,0) to (4,6)

Required

Reflect over the y axis

Represent the initial coordinate with (a,b)

When reflect over y axis, the new coordinate becomes

`y = (-a,b)`

In this case

`(a,b) = (4,6)`

The reflected coordinate becomes
`(-4,6)`

Hence, the coordinates of the reflected line is (0,0),(-4,6)