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). Their slopes are negative reciprocals of each other.

Front

If two lines have the same slope, what can we say about them?

Back

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

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

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

What is the slope of the line y = 4x + 7?

Back

The slope of the line y = 4x + 7 is 4.

Front

If a line has a slope of 3, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

What is the equation of a line parallel to y = 2x + 5 with a y-intercept of -3?

Back

The equation of the line is y = 2x - 3.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if they intersect at an angle that is not 90 degrees and do not have the same slope.