Parallel and Perpendicular Lines Review

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

What is the slope of a line that is parallel to a line with a slope of -2?

Back

The slope of a line that is parallel to a line with a slope of -2 is also -2.

Front

Write the equation of a line that passes through the point (2, 5) and is perpendicular to the line y = 4x + 1.

Back

y = -1/4x + 6.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

Write the equation of a line that passes through the point (0, 0) and is parallel to the line y = 2x + 3.

Back

y = 2x.

Front

If a line has the equation y = 5x - 4, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to y = 5x - 4 is -1/5.

Front

Write the equation of a line that passes through the point (-3, 4) and is parallel to the line y = -1/2x + 1.

Back

y = -1/2x + 1/2.

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

Write the equation of a line that passes through the point (1, 2) and is perpendicular to the line y = 3x + 1.

Back

y = -1/3x + 7/3.