Parallel and Perpendicular Lines (slope) - Honors 8/27

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line, defined as the ratio of the rise (change in y) over the run (change in x).

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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Back

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Front

If a line has a slope of -3, what is the slope of a line that is perpendicular to it?

Back

Front

Back

The negative reciprocal is -5.

Front

How do you determine if two lines are parallel or perpendicular from their equations?

Back

Compare their slopes: if they are equal, the lines are parallel; if the product of the slopes is -1, they are perpendicular.

Front

What is the slope of the line that passes through the points (-4, 7) and (-6, -4)?

Back