Reflection over y=mx+b

Adjust the inputs to y=mx+b by using the slider, choosing values for m and b. Observe the coordinates of the original figure and its reflection

1. Set the equation[math] y=x[/math] using m and b. What do you notice about the coordinates of the reflection? Drag the coordinates of the original figure. Is your theory correct? 2. Set the equation [math]y=-x[/math] using m and b. What do you notice about the coordinates of the reflection? Drag the coordinates of the original figure. Is your theory correct? 3. Set the equation [math]y=x+1[/math]. What is similar between this reflection and [math]y=x[/math]?

Information