Question

Follow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure.

Answer 1

Slope of one of the dotted lines:

`y=x` or
`y=x+5`

Slope of the line of reflection:

`y=-x`

Explanation:

When seeing the dotted lines, both of them have a rise & run of 1, indicating that y = x. However, one of the lines has a y-intercept of 5, making it y = x + 5. So, the slopes for the dotted lines are
`y=x` or
`y=x+5`.

The line of reflection has a rise & run of -1, and goes through the origin, indicating that the equation is y = -x.