Parallel and Perpendicular Lines Practice

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are negative reciprocals.

Front

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

Back

They are parallel.

Front

If the slope of one line is m, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/m.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

Determine if the lines y = 4x + 1 and y = 4x - 5 are parallel, perpendicular, or neither.

Back

They are parallel.

Front

Determine if the lines y = -3x + 2 and y = 1/3x - 4 are parallel, perpendicular, or neither.

Back

They are perpendicular.

Front

What is the slope of the line that is parallel to y = -2x + 5?

Back

The slope is -2.

Front

What is the slope of the line that is perpendicular to y = 1/4x + 2?

Back

The slope is -4.

Front

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

Back

Their slopes are neither equal nor negative reciprocals.