Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.

Front

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

Back

They are parallel.

Front

If the slopes of two lines are negative reciprocals, what can we say about them?

Back

They are perpendicular.

Front

What is the slope of a line in the equation y = mx + b?

Back

m represents the slope of the line.

Front

Determine if the lines y = 2x + 1 and y = 2x - 4 are parallel, perpendicular, or neither.

Back

They are parallel.

Front

Determine if the lines y = -1/2x + 3 and y = 2x - 1 are parallel, perpendicular, or neither.

Back

They are perpendicular.

Front

What is the slope of the line passing through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

What is the slope of the line passing through the points (2, 3) and (2, 5)?

Back

The slope is undefined (vertical line).

Front

If two lines are neither parallel nor perpendicular, what can we say about their slopes?

Back

Their slopes are neither the same nor negative reciprocals.