$\"\"$

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The equation is $\"\"$ .

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Find the x-intercept, substitute y = 0.

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$\"\"$

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Add 6 to each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Multiply each side by 3.

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$\"\"$

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$\"\"$

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Divide each side by 2.

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$\"\"$

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$\"\"$

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So, the coordinate points is (9, 0).

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$\"\"$

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If two lines are perpendicular, the slope ( $\"\"$ ) of one line is opposite reciprocal of the second line slope ( $\"\"$ ). It can be represented as, $\"\"$ .

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So, slope of the line perpendicular to given line is $\"\"$ . $\"\"$

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Substitute $\"\"$ and $\"\"$ in the point-slope form $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ $\"\"$

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The slope-intercept form in perpendicular line equation is $\"\"$ .

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Graph each line on a coordinate planes.

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$\"graph$

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$\"\"$

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Graph of the slope-intercept form in perpendicular line equation is $\"\"$ .

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$\"graph$