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.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation y = mx + b.

Front

How do you find the slope of a line given two points?

Back

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

Front

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

Back

The slopes of two parallel lines are equal.

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

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

Back

The slope of a line perpendicular to it would be -1/2.

Front

What is the equation of a line parallel to y = 4x + 1?

Back

Any line of the form y = 4x + b, where b is any real number, is parallel.

Front

What is the equation of a line perpendicular to y = -3x + 2?

Back

Any line of the form y = 1/3x + b, where b is any real number, is perpendicular.

Front

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

Back

If the coefficients of x in both equations are the same, the lines are parallel.