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 but different y-intercepts.

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

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

Back

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

Front

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

Back

The slope of the line is 2.

Front

How do you determine if two lines are parallel or perpendicular from their equations?

Back

Convert both equations to slope-intercept form (y = mx + b) and compare their slopes.

Front

What is the slope of the line y = -1/5x + 4?

Back

The slope of the line is -1/5.

Front

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

Back

The equation is y = 3x + 2.

Front

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

Back

The equation is y = -1/4x + 3.5.

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.