Questions: Question 1, 10.2.1 Linear Equations Part 1 of 4 For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. x - y = 6 Complete the table below x y - 0

Question 1, 10.2.1 Linear Equations Part 1 of 4 For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. x - y = 6 Complete the table below x y - 0
Transcript text: Question 1, 10.2.1 Linear Equations Part 1 of 4 For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. \[ x-y=6 \] Complete the table below \begin{tabular}{|c|c|} \hline x & y \\ \hline$\square$ & 0 \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Solve for \( y \) when \( x = 0 \)

Given the equation \( x - y = 6 \), we can solve for \( y \) when \( x = 0 \): \[ 0 - y = 6 \implies y = -6 \]

Step 2: Solve for \( y \) when \( x = 6 \)

Given the equation \( x - y = 6 \), we can solve for \( y \) when \( x = 6 \): \[ 6 - y = 6 \implies y = 0 \]

Step 3: Solve for \( y \) when \( x = 12 \)

Given the equation \( x - y = 6 \), we can solve for \( y \) when \( x = 12 \): \[ 12 - y = 6 \implies y = 6 \]

Final Answer

The three ordered pair solutions are: \[ (0, -6), (6, 0), (12, 6) \]

{"axisType": 3, "coordSystem": {"xmin": -2, "xmax": 14, "ymin": -8, "ymax": 8}, "commands": ["y = x - 6"], "latex_expressions": ["$x - y = 6$"]}

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