Equations of Parallel and Perpendicular Lines

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What is the slope of a line perpendicular to a line with slope m?

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If two lines have the same slope, what can we say about them?

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If two lines have the same slope, they are parallel.

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What does it mean for two lines to be parallel?

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Two lines are parallel if they never intersect and have the same slope.

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What does it mean for two lines to be perpendicular?

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Two lines are perpendicular if they intersect at a right angle (90 degrees) and their slopes are negative reciprocals.

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The y-intercept is the point where the line crosses the y-axis, which is (0, 7).

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The lines are parallel because they have the same slope of 4.

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What is the equation of a line that is parallel to the x-axis and passes through the point (3, 4)?

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