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

To solve this "Graphing Spring" puzzle, we need to plot the given coordinate pairs on the grid and connect them with straight lines. Each pair of coordinates represents the two endpoints of a line segment.

Here is the step-by-step process to reveal the image:

Step 1: Understand the Coordinates

Each item in the list looks like `(x1, y1) (x2, y2)`. This means you draw a line starting at point `x1, y1` and ending at point `x2, y2`.

* x-axis: The horizontal number line at the bottom (0 to 30).
* y-axis: The vertical number line on the left (0 to 30).

Step 2: Plot the Lines Group by Group

Let's break down the list into logical groups to see what shape they form.

Group 1: The Stem and Leaves (Left Side)
* `(9, 0) to (9, 5)`: A vertical line going up from the x-axis. This is the bottom of the stem.
* `(9, 5) to (7, 8)`: A short diagonal line going up and left.
* `(7, 8) to (5, 9)`: Another short diagonal continuing up and left.
* `(5, 9) to (2, 9)`: A horizontal line going left. This forms the top of a leaf.
* `(2, 9) to (3, 6)`: A diagonal line going down and right.
* `(3, 6) to (5, 5)`: A diagonal line going down and right.
* `(5, 5) to (9, 5)`: A horizontal line going right, connecting back to the stem.
* *Result:* These lines form a leaf on the left side of the stem.

Group 2: The Stem Continues Up
* `(9, 5) to (9, 11)`: A vertical line continuing up the stem.
* `(9, 11) to (10, 12)`: A small diagonal step to the right.
* `(10, 12) to (12, 13)`: Another small diagonal step to the right.
* *Result:* The stem moves slightly to the right as it goes up.

Group 3: The Flower Petals (Top Center)
* `(12, 13) to (13, 15)`: Diagonal up and right.
* `(13, 15) to (13, 20)`: Vertical line up. This is the center/top of the flower.
* `(13, 20) to (12, 18)`: Diagonal down and left.
* `(12, 18) to (11, 20)`: Diagonal up and left.
* `(11, 20) to (9, 20)`: Horizontal line to the left.
* `(9, 20) to (7, 20)`: Horizontal line continuing left.
* *Result:* These lines form the top petals of the flower.

Group 4: The Right Side Petals and Leaf
* `(7, 20) to (6, 18)`: Diagonal down and left.
* `(6, 18) to (5, 20)`: Diagonal up and left.
* `(5, 20) to (5, 15)`: Vertical line down.
* `(5, 15) to (6, 13)`: Diagonal down and right.
* `(6, 13) to (8, 12)`: Diagonal down and right.
* `(8, 12) to (9, 11)`: Diagonal down and right, connecting back to the stem.
* *Result:* These lines form the left-side petals and connect back down the stem.

Wait, let me re-evaluate the connections carefully to ensure the shape is clear. Let's trace the full outline.

1. Stem Base: `(9,0)-(9,5)`
2. Left Leaf: `(9,5)-(7,8)-(5,9)-(2,9)-(3,6)-(5,5)-(9,5)`. This creates a distinct leaf shape attached to the stem at y=5.
3. Stem Middle: `(9,5)-(9,11)`
4. Right Leaf/Petal Connection: `(9,11)-(10,12)-(12,13)`... wait, looking at the last group: `(6,13)-(8,12)-(9,11)`. This connects the left side of the flower head back to the stem.
5. Flower Head Top:
* Start at `(12,13)`. Go to `(13,15)`, then `(13,20)`. This is the right-center peak.
* From `(13,20)`, go to `(12,18)`, then `(11,20)`. This is a dip and another peak.
* From `(11,20)`, go to `(9,20)`, then `(7,20)`. This is the flat top or wide top of the flower.
* From `(7,20)`, go to `(6,18)`, then `(5,20)`. This is another peak on the left.
* From `(5,20)`, go to `(5,15)`, then `(6,13)`. This comes down the left side.
* From `(6,13)`, go to `(8,12)`, then `(9,11)`. This connects back to the stem.

So, the image consists of:
1. A stem rising from `(9,0)` to `(9,11)`.
2. A leaf on the left side, attached between y=5 and y=9.
3. A flower head sitting on top of the stem, spanning from x=5 to x=13 and y=11 to y=20. The flower has a jagged, multi-petal top edge.

Final Verification

- Stem: Vertical line at x=9 from y=0 to y=11.
- Leaf: A closed loop on the left: `(9,5)->(7,8)->(5,9)->(2,9)->(3,6)->(5,5)->(9,5)`.
- Flower: A complex shape on top.
- Right side connection: `(9,11)->(10,12)->(12,13)->(13,15)->(13,20)`.
- Top edge: `(13,20)->(12,18)->(11,20)->(9,20)->(7,20)->(6,18)->(5,20)`.
- Left side connection: `(5,20)->(5,15)->(6,13)->(8,12)->(9,11)`.

When you draw all these lines on the grid, they form a picture of a flower with a single leaf on its stem.

Final Answer:
The graphed lines reveal an image of a flower with a stem and one leaf.