Quadrant Detective: Where is the Point?
Drag the point to each corner. Watch how the signs of x and y change.
Equation
y = x
Graph
Table
| x | y |
|---|---|
| -5 | -5 |
| -4 | -4 |
| -3 | -3 |
| -2 | -2 |
| -1 | -1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
What this lesson covers
What you do
You shape the function y = x and watch the graph answer.
Challenges to clear
- Move the point into Quadrant II: x negative, y positive.
- Park it exactly at (−3, 2): 3 to the left, 2 up.
- Different corner this time: move the point into Quadrant IV — x positive, y negative.
- Now park it exactly at (4, −3): 4 to the right, 3 down.
Check yourself
A point has coordinates (-4, 3). Which quadrant is it in?
If a point lies on the positive y-axis, what are the signs of its coordinates?
- Quadrant I (both positive)
- Quadrant II (x negative, y positive) — correct
- Quadrant III (both negative)
- Quadrant IV (x positive, y negative)
- x is 0, y is positive — correct
- x is positive, y is 0
- Both x and y are positive
- Both x and y are 0
Think about it
- If x is negative and y is positive, which quadrant are we in?