Parallel/ Perpendicular Lines Section 2.4. If a line is written in “y=mx+b” form, then the slope of the line is the “m” value. If lines have the same.

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Presentation transcript:

Parallel/ Perpendicular Lines Section 2.4

If a line is written in “y=mx+b” form, then the slope of the line is the “m” value. If lines have the same slope, then they are parallel. If a line is written in “y=mx+b” form, then the slope of the line is the “m” value. If lines have the same slope, then they are parallel.

Parallel lines never intersect.

Example Are the lines parallel? y = 2x + 6y = 2x - 3 Graph the lines to see the relationship. Are the lines parallel? y = 2x + 6y = 2x - 3 Graph the lines to see the relationship.

Example Are the lines parallel? -2x - y = -5 y = 2x + 6 Are the lines parallel? -2x - y = -5 y = 2x + 6

Perpendicular Lines Perpendicular lines are lines that intersect at a 90 degree angle (a right angle).

Two lines are perpendicular if the slopes of the lines are opposite reciprocals. Opposite: signs are different, one positive, one negative Reciprocals: switch the numerator and the denominator. Two lines are perpendicular if the slopes of the lines are opposite reciprocals. Opposite: signs are different, one positive, one negative Reciprocals: switch the numerator and the denominator.

Example Are the lines parallel, perpendicular, or neither? 6y = -2x x - 12y = 24 Are the lines parallel, perpendicular, or neither? 6y = -2x x - 12y = 24

Example Are the lines parallel, perpendicular, or neither? -x + y = 3y = x - 8 Graph the lines to see the relationship. Are the lines parallel, perpendicular, or neither? -x + y = 3y = x - 8 Graph the lines to see the relationship.

Remember Same Slope = parallel Opposite Reciprocals = perpendicular Same Slope = parallel Opposite Reciprocals = perpendicular

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