Parallel and Perpendicular lines

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees).

Front

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

Back

The slopes are negative reciprocals of each other.

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

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

Back

The slopes are the same.

Front

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

Back

Compare their slopes; if they are equal, the lines are parallel; if their slopes are negative reciprocals, the lines are perpendicular.

Front

What is slope-intercept form?

Back

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

If the slope of a line is -2, what is the slope of a line that is perpendicular to it?

Back

The slope would be 1/2, as it is the negative reciprocal.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

Which of the following equations represents a line parallel to y = 2x + 1?

Back

y = 2x - 3 (same slope of 2).

Front

If two lines have slopes of 4 and -1/4, what is their relationship?

Back

They are perpendicular lines.