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Graphing activity with a 3D shape on a coordinate plane.

Graph paper worksheet with a geometric shape drawn on a coordinate grid, labeled with points to connect in order.

Graph paper worksheet with a geometric shape drawn on a coordinate grid, labeled with points to connect in order.

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Show Answer Key & Explanations Step-by-step solution for: lab-2

Problem Description:


The task is to locate the following coordinates on the graph and connect them in order with straight lines. The coordinates provided are:

1. (2, 3)
2. (4, 5)
3. (6, 7)
4. (8, 9)
5. (10, 11)
6. (12, 13)

Solution Explanation:



#### Step 1: Understand the Graph
The graph is a standard Cartesian coordinate plane with labeled axes. The x-axis runs horizontally, and the y-axis runs vertically. Each grid line represents one unit.

#### Step 2: Locate Each Coordinate
We need to plot each of the given coordinates on the graph:

1. (2, 3): Move 2 units to the right from the origin (0, 0) and then 3 units up.
2. (4, 5): Move 4 units to the right from the origin and then 5 units up.
3. (6, 7): Move 6 units to the right from the origin and then 7 units up.
4. (8, 9): Move 8 units to the right from the origin and then 9 units up.
5. (10, 11): Move 10 units to the right from the origin and then 11 units up.
6. (12, 13): Move 12 units to the right from the origin and then 13 units up.

#### Step 3: Plot the Points
Mark each of these points on the graph at their respective coordinates.

#### Step 4: Connect the Points
Using a ruler, draw straight lines to connect the points in the order they are given:
- From (2, 3) to (4, 5)
- From (4, 5) to (6, 7)
- From (6, 7) to (8, 9)
- From (8, 9) to (10, 11)
- From (10, 11) to (12, 13)

#### Step 5: Verify the Pattern
Notice that the coordinates form a linear pattern. Each subsequent point increases by 2 units in both the x and y directions. This means the points will lie on a straight line when connected.

Final Answer:


The coordinates have been plotted and connected as follows:

1. Plot the points: (2, 3), (4, 5), (6, 7), (8, 9), (10, 11), (12, 13).
2. Draw straight lines connecting them in order.

The resulting figure is a straight line passing through all the points.

Final Answer:
\[
\boxed{\text{Straight line connecting the points (2, 3), (4, 5), (6, 7), (8, 9), (10, 11), (12, 13).}}
\]
Parent Tip: Review the logic above to help your child master the concept of graphiti math worksheet.
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