Question: Think about the point $ (0,4) $. Where do you think this point is located? on the y-axis What do the x and y-coordinates tell you about the location of a point? x: how far to move ? y: how far to move ?

1. **Problem Statement:** We are given the point $ (0,4) $ and asked where it is located. 2. **Understanding Coordinates:** A point in the coordinate plane is given as $ (x,y) $, where $ x $ is the horizontal position and $ y $ is the vertical position. 3. **Analyzing the Point $ (0,4) $:** - The $ x $-coordinate is $ 0 $, which means the point is exactly on the vertical axis (y-axis). - The $ y $-coordinate is $ 4 $, which means the point is $ 4 $ units above the origin along the y-axis. 4. **Conclusion:** Since $ x=0 $, the point lies on the y-axis at $ y=4 $. This means it is located $ 4 $ units up from the origin on the y-axis. 5. **What the Coordinates Tell Us:** - The $ x $-coordinate tells us how far to move left or right from the origin. Positive $ x $ means move right, negative $ x $ means move left. - The $ y $-coordinate tells us how far to move up or down from the origin. Positive $ y $ means move up, negative $ y $ means move down. **Final answer:** The point $ (0,4) $ is located on the y-axis, $ 4 $ units above the origin.