How to reflect a line segment over the y=x line

The video tutorial explains the concept of the Y = X line, a diagonal line through the origin. It covers how to graph this line by selecting arbitrary X values and finding corresponding Y values. The tutorial then describes reflecting points over the Y = X line by swapping the X and Y coordinates. Finally, it provides instructions on graphing these reflected points.

What is the relationship between X and Y in the equation y = X?

• Y is the square of X

• Y is always greater than X

• Y is always less than X

• Y is equal to X

How does the Y = X line appear on a graph?

• A horizontal line

• A vertical line

• A diagonal line through the origin

• A curved line

What is the algebraic rule for reflecting a point over the Y = X line?

• Multiply both coordinates by 2

• Subtract 1 from both coordinates

• Swap the X and Y coordinates

• Add 1 to both coordinates

If a point A is at (-4, 1), what will be its reflection over the Y = X line?

• (-4, -1)

• (1, -4)

• (-1, 4)

• (4, -1)

After reflecting point B at (-2, 6) over the Y = X line, what are the new coordinates?

• (-6, 2)

• (2, -6)

• (6, -2)

• (6, 2)