Equations of Parallel and Perpendicular Lines

Front

What is the definition of parallel lines in the context of linear equations?

Back

Parallel lines are lines in a plane that do not intersect and have the same slope.

Front

What is the definition of perpendicular lines in the context of linear equations?

Back

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

Front

If two lines have the same slope, what can be said about their relationship?

Back

If two lines have the same slope, they are parallel.

Front

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

Back

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

Front

What is the slope of a line perpendicular to the line represented by the equation y = -4x + 1?

Back

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

Front

How can you determine if two lines are perpendicular using their slopes?

Back

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

Front

What is the equation of a line parallel to the x-axis that passes through the point (3, 7)?

Back

The equation of the line is y = 7.

Front

What is the slope of a line that is parallel to a line with a slope of 5?

Back

The slope of a line parallel to a line with a slope of 5 is also 5.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

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

Back

The slope of a line perpendicular to a line with a slope of -2 is 1/2.