Parallel and Perpendicular lines

Front

What are perpendicular lines?

Back

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

Front

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

Back

Two parallel lines have the same slope.

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

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

The slope is 3.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

If a line has a slope of 2, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/2.

Front

What is the equation of a line parallel to y = 5x + 1 that passes through the point (2,3)?

Back

The equation is y = 5x - 7.

Front

What is the equation of a line perpendicular to y = -2x + 4 that passes through the point (1,1)?

Back

The equation is y = rac{1}{2}x + rac{1}{2}.