$\"\"$

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The equation of the line is $\"\"$ .

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$\"\"$ (Subtract 4x from each side)

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Apply additive identity property: a+0=a)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Divide $\"\"$ )

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Let the slope of the line be $\"\"$ . $\"\"$

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Compare the equation of the line with the slope-intercept form $\"\"$ , where m = slope of the line and b = y-intercept.

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Therefore $\"\"$ .

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$\"\"$

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Let the slope of another line be $\"\"$ .

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If the two nonvertical lines are parallel, then their slopes are equal. That is $\"\"$ .

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Therefore slope of the line parallel to the line $\"\"$ is also $\"\"$ .

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$\"\"$

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If the two nonvertical lines are perpendicular, then their slopes are negative reciprocals of each other. That is $\"\"$ .

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Therefore slope of the line perpendicular to the line $\"\"$ is $\"\"$ .

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$\"\"$

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The slope of a parallel line is $\"\"$ and the slope of a perpendicular line is $\"\"$ .

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