Question

Graph the segment with endpoints (-4, -3) and (3,5) and its image after a reflection in the line y=x.

Answer 1

Explanation:

Endpoints of the segment are (-4, -3) and (3, 5).

Rule for the reflection of the points across a line
`y=x` is,

(x, y) → (y, x)

By following this rule of reflection,

New endpoints will be,

(-4, -3) → (-3, -4)

(3, 5) → (5, 3)

Therefore, new endpoints of the reflected segment are (-3, -4) and (5, 3).