3.6/3.7 Warm-Up (Writing Equations, Parallel vs. Perpendicular)

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 product of their slopes is -1.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope when expressed in slope-intercept form (y = mx + b).

Front

How do you determine if two lines are perpendicular?

Back

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

Front

Back

Front

Back

Front

Back

The slope is -2.

Front

Back

Front

Back

They are parallel because both have a slope of -2.

Front

Back

They are neither because their slopes are different and do not satisfy the perpendicular condition.