Identifying Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

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

Front

What does the slope of a line represent?

Back

The steepness of the line, indicating how much y changes for a change in x.

Front

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

Back

If the slopes (m) of both lines are equal, the lines are parallel.

Front

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

Back

If the product of their slopes is -1, the lines are perpendicular.

Front

What is the slope-intercept form of a line?

Back

Front

What does the 'b' represent in the slope-intercept form?

Back

The y-intercept, which is the point where the line crosses the y-axis.

Front

Back

The slope is 3.

Front

Back

The slope is -1/4.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes are negative reciprocals of each other.