Understanding the Cartesian Plane

This video tutorial introduces the Cartesian plane, focusing on ordered pairs and plotting points. It explains the relationship between input and output variables, often represented as ordered pairs. The tutorial provides examples of creating and interpreting ordered pairs and introduces the Cartesian coordinate system, detailing the horizontal and vertical axes. Finally, it demonstrates how to graph ordered pairs on the Cartesian plane, showing the process of locating points based on input and output values.

What is typically considered the input in a relationship between two variables?

• The variable that is considered first

• The variable that is always negative

• The variable that is considered last

• The variable that is always positive

In the ordered pair (0, -4), what is the input value?

• -4

• 0

• 4

• 2

How is an ordered pair typically written?

• Output, Input

• Input, Output

• X, Y

• Y, X

What is the intersection point of the horizontal and vertical axes called?

• The midpoint

• The axis point

• The center

• The origin

Where do we find the input values on the Cartesian coordinate system?

• Along the vertical axis

• Along the horizontal axis

• At the origin

• On the diagonal

What is the ordered pair for the origin?

• (1, 1)

• (0, 0)

• (0, 1)

• (1, 0)

How do you graph the ordered pair (4, -3) on the Cartesian plane?

• Go right 3 units and up 4 units

• Go right 4 units and down 3 units

• Go left 3 units and down 4 units

• Go left 4 units and up 3 units

If the input is -2 and the output is 6, what is the ordered pair?

• (2, -6)

• (-6, 2)

• (-2, 6)

• (6, -2)

What happens when the input value is zero in an ordered pair?

• The point is on the horizontal axis

• The point is not on the graph

• The point is on the vertical axis

• The point is at the origin

How do you determine the location of a point with coordinates (5, 8)?

• Go left 8 units and down 5 units

• Go right 8 units and up 5 units

• Go right 5 units and up 8 units

• Go left 5 units and down 8 units