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

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

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

Front

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

Back

The slope of a line parallel to y = 4x + 1 is 4.

Front

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

Back

The slope of a line perpendicular to y = -3x + 2 is 1/3.

Front

If two lines have slopes m1 and m2, what condition must be satisfied for them to be perpendicular?

Back

For two lines to be perpendicular, m1 * m2 = -1.

Front

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

Back

The slopes of two parallel lines are equal.

Front

Given the equations y = 2x + 3 and y = 2x - 5, are these lines parallel, perpendicular, or neither?

Back

These lines are parallel because they have the same slope of 2.