Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

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

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b).

Front

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

Back

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

Front

If the slope of line #1 is 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to line #1 would be -1/3.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

Determine if the lines with slopes 2 and -1/2 are parallel, perpendicular, or neither.

Back

Perpendicular.

Front

Determine if the lines with slopes 5 and 5 are parallel, perpendicular, or neither.

Back

Parallel.

Front

If the slope of a line is -4, what is the slope of a line parallel to it?

Back

-4.