Graph the lines using the given coordinates to reveal a spring tulip image.
Graphing worksheet with coordinates to plot on a grid, revealing a spring-themed image of a tulip flower.
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Show Answer Key & Explanations
Step-by-step solution for: 4 Free Spring Graphing Math Worksheets - Our Family Code
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Show Answer Key & Explanations
Step-by-step solution for: 4 Free Spring Graphing Math Worksheets - Our Family Code
Let’s solve this step by step.
We are given a list of coordinate pairs. Each pair like (9,0) and (9,5) means we draw a straight line from point (9,0) to point (9,5). We do this for every pair listed.
The graph already has some lines drawn — that’s our starting point. We need to add the missing lines based on the coordinates provided.
Let’s go through each group of points one by one and see what’s missing.
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First column:
- (9,0) to (9,5) → This is a vertical line at x=9 from y=0 to y=5. Looking at the graph, there’s already a line from (9,0) up to (9,5)? Wait — actually, looking closely, the stem goes from (9,0) up to (9,12), so yes, (9,0)-(9,5) is part of that. But let’s check if it’s fully drawn. The black dot at (9,0) connects up to (9,5) — yes, it’s there.
- (9,5) to (7,8) → From (9,5) to (7,8). Is this drawn? On the graph, from (9,5) there’s a line going left-up to (7,8)? Let’s check: (9,5) is on the stem. Then (7,8) is a point on the leaf. Yes, there’s a diagonal line connecting them — looks like it’s already drawn.
- (7,8) to (5,9) → From (7,8) to (5,9). That’s another diagonal on the leaf. Already drawn.
- (5,9) to (2,9) → Horizontal line left from (5,9) to (2,9). On the graph, from (5,9) there’s a line going left to (2,9)? Actually, looking at the leaf shape: (5,9) connects to (2,9) — yes, horizontal line — already drawn.
- (2,9) to (3,6) → From (2,9) down-right to (3,6). Is that drawn? On the graph, from (2,9) there’s a line going to (3,6)? Let’s trace: (2,9) → (3,6) — yes, that’s the bottom-left edge of the leaf. Already drawn.
So first column seems complete.
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Second column:
- (3,6) to (5,5) → From (3,6) to (5,5). Diagonal down-right. On the graph, from (3,6) to (5,5) — yes, that’s the bottom of the leaf. Already drawn.
- (5,5) to (9,5) → Horizontal line right from (5,5) to (9,5). On the graph, from (5,5) to (9,5) — yes, that’s the base of the leaf/stem connection. Already drawn.
- (9,5) to (9,11) → Vertical line up from (9,5) to (9,11). The stem goes from (9,0) to (9,12), so yes, this segment is included. Already drawn.
- (9,11) to (10,12) → From (9,11) to (10,12). Diagonal up-right. On the flower part: (9,11) is on the stem, then (10,12) is the start of the flower curve. Is this drawn? Looking at the graph, from (9,11) there’s a line to (10,12) — yes, it’s there.
- (10,12) to (12,13) → From (10,12) to (12,13). Diagonal up-right. On the flower, this should be part of the lower curve. Already drawn.
Second column also seems complete.
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Third column:
- (12,13) to (13,15) → From (12,13) to (13,15). Up-right diagonal. On the flower, this is part of the right side. Already drawn.
- (13,15) to (13,20) → Vertical line up from (13,15) to (13,20). On the graph, from (13,15) up to (13,20) — yes, that’s the rightmost peak of the flower. Already drawn.
- (13,20) to (12,18) → From (13,20) to (12,18). Down-left diagonal. On the flower top, this connects the peak to the next point. Already drawn.
- (12,18) to (11,20) → From (12,18) to (11,20). Up-left diagonal. This forms the top center dip. Already drawn.
- (11,20) to (9,20) → Horizontal line left from (11,20) to (9,20). Top of the flower. Already drawn.
Third column complete.
---
Fourth column:
- (9,20) to (7,20) → Horizontal line left from (9,20) to (7,20). Top of flower, left side. Already drawn.
- (7,20) to (6,18) → From (7,20) to (6,18). Down-left diagonal. Left top of flower. Already drawn.
- (6,18) to (5,20) → From (6,18) to (5,20). Up-left diagonal. This makes the left peak. Already drawn.
- (5,20) to (5,15) → Vertical line down from (5,20) to (5,15). Left side of flower. Already drawn.
- (5,15) to (6,13) → From (5,15) to (6,13). Down-right diagonal. Connects to the lower left of flower. Already drawn.
Fourth column complete.
---
Fifth column:
- (6,13) to (8,12) → From (6,13) to (8,12). Down-right diagonal. This is inside the flower, connecting left to center-bottom. Is this drawn? Looking at the graph: from (6,13) to (8,12) — yes, there’s a line there.
- (8,12) to (9,11) → From (8,12) to (9,11). Down-right diagonal. Connects to the stem. Already drawn.
Wait — all these seem to be already drawn in the image!
But the instruction says: “Graph the lines below to reveal the Spring image.” And the image shows a partially completed graph with dots and some lines.
Actually, looking again — the graph shown has ALL the lines already drawn! The black dots and lines match exactly the coordinate pairs given.
That means... the task is already complete? Or perhaps the student is supposed to verify or understand how it was made?
But the user said: “Solve the problem accurately.”
Perhaps the problem is just to recognize that when you plot all those lines, you get a tulip flower — which is a spring image.
Maybe the “solve” part is to realize that the final image is a tulip.
Alternatively, maybe the student is supposed to finish drawing any missing lines — but in the image provided, everything is already drawn.
Wait — let me double-check one thing.
Look at the fifth column: (6,13)(8,12) and (8,12)(9,11)
In the graph, is there a line from (6,13) to (8,12)? Yes.
From (8,12) to (9,11)? Yes.
All connections are present.
So the entire figure is already plotted.
Therefore, the “solution” is that the spring image revealed is a tulip.
Since the task says “reveal the Spring image”, and after plotting all lines, you see a tulip, that must be the answer.
Final Answer:
Tulip
We are given a list of coordinate pairs. Each pair like (9,0) and (9,5) means we draw a straight line from point (9,0) to point (9,5). We do this for every pair listed.
The graph already has some lines drawn — that’s our starting point. We need to add the missing lines based on the coordinates provided.
Let’s go through each group of points one by one and see what’s missing.
---
First column:
- (9,0) to (9,5) → This is a vertical line at x=9 from y=0 to y=5. Looking at the graph, there’s already a line from (9,0) up to (9,5)? Wait — actually, looking closely, the stem goes from (9,0) up to (9,12), so yes, (9,0)-(9,5) is part of that. But let’s check if it’s fully drawn. The black dot at (9,0) connects up to (9,5) — yes, it’s there.
- (9,5) to (7,8) → From (9,5) to (7,8). Is this drawn? On the graph, from (9,5) there’s a line going left-up to (7,8)? Let’s check: (9,5) is on the stem. Then (7,8) is a point on the leaf. Yes, there’s a diagonal line connecting them — looks like it’s already drawn.
- (7,8) to (5,9) → From (7,8) to (5,9). That’s another diagonal on the leaf. Already drawn.
- (5,9) to (2,9) → Horizontal line left from (5,9) to (2,9). On the graph, from (5,9) there’s a line going left to (2,9)? Actually, looking at the leaf shape: (5,9) connects to (2,9) — yes, horizontal line — already drawn.
- (2,9) to (3,6) → From (2,9) down-right to (3,6). Is that drawn? On the graph, from (2,9) there’s a line going to (3,6)? Let’s trace: (2,9) → (3,6) — yes, that’s the bottom-left edge of the leaf. Already drawn.
So first column seems complete.
---
Second column:
- (3,6) to (5,5) → From (3,6) to (5,5). Diagonal down-right. On the graph, from (3,6) to (5,5) — yes, that’s the bottom of the leaf. Already drawn.
- (5,5) to (9,5) → Horizontal line right from (5,5) to (9,5). On the graph, from (5,5) to (9,5) — yes, that’s the base of the leaf/stem connection. Already drawn.
- (9,5) to (9,11) → Vertical line up from (9,5) to (9,11). The stem goes from (9,0) to (9,12), so yes, this segment is included. Already drawn.
- (9,11) to (10,12) → From (9,11) to (10,12). Diagonal up-right. On the flower part: (9,11) is on the stem, then (10,12) is the start of the flower curve. Is this drawn? Looking at the graph, from (9,11) there’s a line to (10,12) — yes, it’s there.
- (10,12) to (12,13) → From (10,12) to (12,13). Diagonal up-right. On the flower, this should be part of the lower curve. Already drawn.
Second column also seems complete.
---
Third column:
- (12,13) to (13,15) → From (12,13) to (13,15). Up-right diagonal. On the flower, this is part of the right side. Already drawn.
- (13,15) to (13,20) → Vertical line up from (13,15) to (13,20). On the graph, from (13,15) up to (13,20) — yes, that’s the rightmost peak of the flower. Already drawn.
- (13,20) to (12,18) → From (13,20) to (12,18). Down-left diagonal. On the flower top, this connects the peak to the next point. Already drawn.
- (12,18) to (11,20) → From (12,18) to (11,20). Up-left diagonal. This forms the top center dip. Already drawn.
- (11,20) to (9,20) → Horizontal line left from (11,20) to (9,20). Top of the flower. Already drawn.
Third column complete.
---
Fourth column:
- (9,20) to (7,20) → Horizontal line left from (9,20) to (7,20). Top of flower, left side. Already drawn.
- (7,20) to (6,18) → From (7,20) to (6,18). Down-left diagonal. Left top of flower. Already drawn.
- (6,18) to (5,20) → From (6,18) to (5,20). Up-left diagonal. This makes the left peak. Already drawn.
- (5,20) to (5,15) → Vertical line down from (5,20) to (5,15). Left side of flower. Already drawn.
- (5,15) to (6,13) → From (5,15) to (6,13). Down-right diagonal. Connects to the lower left of flower. Already drawn.
Fourth column complete.
---
Fifth column:
- (6,13) to (8,12) → From (6,13) to (8,12). Down-right diagonal. This is inside the flower, connecting left to center-bottom. Is this drawn? Looking at the graph: from (6,13) to (8,12) — yes, there’s a line there.
- (8,12) to (9,11) → From (8,12) to (9,11). Down-right diagonal. Connects to the stem. Already drawn.
Wait — all these seem to be already drawn in the image!
But the instruction says: “Graph the lines below to reveal the Spring image.” And the image shows a partially completed graph with dots and some lines.
Actually, looking again — the graph shown has ALL the lines already drawn! The black dots and lines match exactly the coordinate pairs given.
That means... the task is already complete? Or perhaps the student is supposed to verify or understand how it was made?
But the user said: “Solve the problem accurately.”
Perhaps the problem is just to recognize that when you plot all those lines, you get a tulip flower — which is a spring image.
Maybe the “solve” part is to realize that the final image is a tulip.
Alternatively, maybe the student is supposed to finish drawing any missing lines — but in the image provided, everything is already drawn.
Wait — let me double-check one thing.
Look at the fifth column: (6,13)(8,12) and (8,12)(9,11)
In the graph, is there a line from (6,13) to (8,12)? Yes.
From (8,12) to (9,11)? Yes.
All connections are present.
So the entire figure is already plotted.
Therefore, the “solution” is that the spring image revealed is a tulip.
Since the task says “reveal the Spring image”, and after plotting all lines, you see a tulip, that must be the answer.
Final Answer:
Tulip
Parent Tip: Review the logic above to help your child master the concept of graphing on a coordinate plane worksheet.