Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees).

Front

What is the slope of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the slope of perpendicular lines?

Back

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

Front

If two lines have the same y-intercept, are they parallel?

Back

Not necessarily; they must also have the same slope.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

If the coefficients of x (slopes) are equal, the lines are parallel.

Front

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

Back

If the product of their slopes is -1, the lines are perpendicular.

Front

What does it mean for lines to intersect?

Back

It means they cross each other at one point.

Front

What is an example of parallel lines in real life?

Back

Railroad tracks are an example of parallel lines.