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

Back

The slope of a line parallel to it is also m.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope of the line is m.

Front

How can you determine if two lines are parallel from their equations?

Back

Two lines are parallel if their slopes are equal.

Front

How can you determine if two lines are perpendicular from their equations?

Back

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

Front

What is the slope of the line y = 5x - 3?

Back

The slope of the line is 5.

Front

What is the slope of a line that is perpendicular to a line with a slope of 4?

Back

The slope of a line that is perpendicular to a line with a slope of 4 is -1/4.

Front

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

Back

The equation is y = 2x + 1.