Parallel and Perpendicular Lines

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

What is the slope of a line parallel to y = -1/2x + 3?

Back

The slope of a line parallel to y = -1/2x + 3 is -1/2.

Front

How do you write the equation of a line in point-slope form?

Back

The equation of a line in point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What is the slope of a line perpendicular to y = 3x - 8?

Back

The slope of a line perpendicular to y = 3x - 8 is -1/3.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have identical slopes.

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

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

Back

The equation is y + 1 = -1/2(x - 4).

Front

What is the equation of a line that passes through the point (-3, -9) and is perpendicular to y = 3x - 8?

Back

The equation is y + 9 = -1/3(x + 3).

Front

If two lines have slopes of 2 and -1/2, are they parallel, perpendicular, or neither?

Back

They are neither parallel nor perpendicular.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are identical.