Worksheet for graphing linear equations in two variables, featuring six equations and grid templates for plotting.

Graphing Linear Equations in Two Variables worksheet with six equations and corresponding coordinate planes for sketching lines.

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Final Answer:
The graphs for all six equations should be drawn on their respective coordinate planes by finding two points for each line and connecting them. For example:

1. x + y = 4 → Points: (0,4) and (4,0)
2. 2x + 4y = 8 → Simplify to x + 2y = 4 → Points: (0,2) and (4,0)
3. 3x - ½y = 2 → Multiply by 2: 6x - y = 4 → Points: (0,-4) and (1,2)
4. y = 3x + 2 → Points: (0,2) and (1,5)
5. x - y = 5 → Points: (0,-5) and (5,0)
6. y = -⅔x + 4 → Points: (0,4) and (3,2)

Each line is straight and connects the two points. Label the axes and scale appropriately so all points fit.

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Parent Tip: Review the logic above to help your child master the concept of equations in two variables worksheet answers.

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