4 Free Spring Graphing Math Worksheets - Our Family Code - Free Printable

To solve this "Graphing Spring" puzzle, we need to plot pairs of points on the coordinate grid and draw a straight line connecting each pair. When all the lines are drawn, they will form a picture.

Here is the step-by-step process:

Step 1: Understand the Coordinates
Each pair is written as $(x, y)$.
- The first number ($x$) tells you how far to go right from the bottom-left corner (0).
- The second number ($y$) tells you how far to go up from the bottom.

Step 2: Plot and Connect the Lines
Let's group the lines by where they appear in the image to make it easier to visualize.

Group 1: The Stem and Leaves (Bottom Left)
These lines use smaller numbers for $x$ and $y$, meaning they are near the bottom-left corner.
1. Connect (9, 0) to (9, 5): This is a vertical line going up 5 units. This looks like the bottom part of a flower stem.
2. Connect (9, 5) to (7, 8): A short diagonal line going up and left.
3. Connect (7, 8) to (5, 9): Another short diagonal line continuing up and left.
4. Connect (5, 9) to (2, 9): A horizontal line going left. This forms a leaf.
5. Connect (2, 9) to (3, 6): A diagonal line going down and right.
6. Connect (3, 6) to (5, 5): A diagonal line going down and right.
7. Connect (5, 5) to (9, 5): A horizontal line going right. This closes the shape of the first leaf.
8. Connect (9, 5) to (9, 11): A vertical line going up. This continues the stem.
9. Connect (9, 11) to (10, 12): A small diagonal step up and right.
10. Connect (10, 12) to (12, 13): Another small diagonal step up and right.

*Result so far:* We have a stem rising from the bottom, with a leaf on the left side.

Group 2: The Flower Petals (Top Center)
These lines involve higher $y$ values (between 13 and 20), forming the top part of the image.
11. Connect (12, 13) to (13, 15): Diagonal up and right.
12. Connect (13, 15) to (13, 20): Vertical line straight up. This is the right edge of a petal.
13. Connect (13, 20) to (12, 18): Diagonal down and left.
14. Connect (12, 18) to (11, 20): Diagonal up and left.
15. Connect (11, 20) to (9, 20): Horizontal line to the left. This is the top flat edge of the flower.
16. Connect (9, 20) to (7, 20): Continuing the horizontal line to the left.
17. Connect (7, 20) to (6, 18): Diagonal down and left.
18. Connect (6, 18) to (5, 20): Diagonal up and left. Wait, let's re-read carefully.
- The list has `(7, 20)(6, 18)` and `(6, 18)(5, 20)`.
- Let's trace the left side of the flower top:
- From `(9,20)` to `(7,20)` is the top middle.
- From `(7,20)` to `(6,18)` goes down-left.
- From `(6,18)` to `(5,20)` goes up-left. This creates a little bump or petal tip on the left.
- From `(5,20)` to `(5,15)` goes straight down. This is the left edge of the flower head.
- From `(5,15)` to `(6,13)` goes down-right.
- From `(6,13)` to `(8,12)` goes down-right.
- From `(8,12)` to `(9,11)` goes down-right. This connects back to the stem!

Let's double-check the connections for the flower head outline:
- Right side: `(12,13)` -> `(13,15)` -> `(13,20)` -> `(12,18)` -> `(11,20)` -> `(9,20)`.
- Top: `(9,20)` -> `(7,20)`.
- Left side: `(7,20)` -> `(6,18)` -> `(5,20)` -> `(5,15)` -> `(6,13)` -> `(8,12)` -> `(9,11)`.

This creates a blocky, pixel-art style flower head sitting on top of the stem.

Step 3: Visualize the Final Image
- Stem: A vertical line from $y=0$ to $y=11$ at $x=9$, with some jagged steps.
- Leaf: A triangular/leaf shape on the left side of the stem, roughly between $y=5$ and $y=9$.
- Flower Head: A large rectangular-ish shape with "petals" sticking out at the top corners (at $x=5$ and $x=13$ reaching up to $y=20$). The base of the flower head connects to the top of the stem.

The combination of a stem, a leaf, and a flower head clearly makes a picture of a flower. Given the title is "Graphing Spring," the image represents a spring flower.

Final Answer:
The graph reveals an image of a flower (specifically a potted plant or a single flower with a stem, leaf, and bloom).