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Here the equation now draw the graph

Mathematics

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Step-by-step solution

7 steps

To draw the graphs for y=x+3y = x + 3 and y=x−3y = x - 3 using the dual intercept method:

For y=x+3y = x + 3:

  1. Set up a coordinate plane with x and y axes.

  2. Plot the y-intercept, which is $(0, 3)$.

    Mark this point on the y-axis.

  3. Plot the x-intercept, which is (−3,0)(-3, 0).

    Mark this point on the x-axis.

  4. Draw a straight line that passes through both points (0,3)(0, 3) and (−3,0)(-3, 0).

    Label this line y=x+3y = x + 3.

    For y=x−3y = x - 3:

  5. On the same coordinate plane, plot the y-intercept, which is (0,−3)(0, -3).

    Mark this point on the y-axis.

  6. Plot the x-intercept, which is $(3, 0)$.

    Mark this point on the x-axis.

  7. Draw a straight line that passes through both points (0,−3)(0, -3) and (3,0)(3, 0).

    Label this line y=x−3y = x - 3.

    You will have two parallel lines on your graph, both with a slope of 1.

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