2-4 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 conclude about them?

Back

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

Front

If the slopes of two lines are negative reciprocals, what can we conclude?

Back

If the slopes of two lines are negative reciprocals, the lines are perpendicular.

Front

What is the slope of a line in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the slope of the line y = 5/7x + 2?

Back

The slope of the line y = 5/7x + 2 is 5/7.

Front

What is the slope of the line y = -2/3x + 2?

Back

The slope of the line y = -2/3x + 2 is -2/3.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines multiply to -1.