This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
x + 3y = x - 3$ using the dual intercept method:
To draw the graphs for and using the dual intercept method:
For :
Step 1: Set up a coordinate plane with x and y axes. Step 2: Plot the y-intercept, which is . Mark this point on the y-axis. Step 3: Plot the x-intercept, which is . Mark this point on the x-axis. Step 4: Draw a straight line that passes through both points and . Label this line .
For :
Step 5: On the same coordinate plane, plot the y-intercept, which is . Mark this point on the y-axis. Step 6: Plot the x-intercept, which is . Mark this point on the x-axis. Step 7: Draw a straight line that passes through both points and . Label this line .
You will have two parallel lines on your graph, both with a slope of 1.
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To draw the graphs for y = x + 3 and y = x - 3 using the dual intercept method: For y = x + 3: Step 1: Set up a coordinate plane with x and y axes.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.