How to reflect a point over the y=x axis

The video tutorial explains the concept of the X = Y axis, a line where X and Y coordinates are equal. It covers how to graph linear equations, understand points on this axis, and reflect points over it by swapping X and Y coordinates. The tutorial includes plotting examples to demonstrate the reflection process and concludes with a summary and homework assignment.

What is the X = Y axis primarily used for in algebra?

• To solve quadratic equations

• To graph linear equations with equal X and Y values

• To determine the slope of a curve

• To calculate the area of a triangle

In the context of the X = Y axis, what does it mean when X and Y coordinates are equal?

• The point lies on the X = Y axis

• The point lies on the Y-axis

• The point is at the origin

• The point lies on the X-axis

How do you reflect a point over the X = Y axis?

• Double the X coordinate

• Invert the coordinates

• Swap the X and Y coordinates

• Rotate the point 90 degrees

What is the visual representation of the X = Y axis on a graph?

• A solid line

• A dotted line

• A curved line

• A dashed line

If a point (5, 3) is reflected over the X = Y axis, what will be its new coordinates?

• (5, -3)

• (3, 5)

• (-5, 3)

• (3, -5)