Parallel and Perpendicular Slopes

Front

What are parallel lines?

Back

Lines that have the same slope and never intersect.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are opposite reciprocals.

Front

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

Back

The slope (m) represents the steepness of the line.

Front

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

Back

They are parallel.

Front

What are opposite reciprocals?

Back

Two numbers whose product is -1; for example, if one slope is 2, the opposite reciprocal is -1/2.

Front

What is the slope of a line parallel to y = 5x + 3?

Back

The slope is 5.

Front

What is the slope of a line perpendicular to y = -3x + 1?

Back

The slope is 1/3.

Front

If the slope of one line is 4, what is the slope of a line that is perpendicular to it?

Back

The slope is -1/4.

Front

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

Back

Check if their slopes are equal.

Front

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

Back

Check if the product of their slopes is -1.