The line equation is .

First find the x-intercept, let y = 0.

                           (Replace y with 0)

                                  (Simplify)

Since x = 6 when y = 0 graph the ordered pair (6, 0)

To find the y-intercept, let x = 0.

                            (Replace x with 0)

                                   (Simplify)

Since y = 6 when x = 0 graph the ordered pair (0, 6)

Use these ordered pairs to graph the equation.

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• Draw a coordinate plane.
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• Plot the points (6, 0) and (0, 6)
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• Draw a line through these points.
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Check:

Check by solving the equation for y.

                            (Write the equation)

               (Subtract x from each side)

                            (Simplify)

If x = 4,

                                   (Subtract: )

Notice that the graph of (4, 2) is on the line.

The line equation graph.