Equations of Parallel and Perpendicular Lines

This video tutorial covers the concepts of parallel and perpendicular lines, explaining their definitions, properties, and how to graph them on a coordinate plane. It discusses the importance of slope in determining parallelism and perpendicularity, and provides examples of equations in both slope-intercept and standard forms. The tutorial also includes practical exercises on writing equations for lines parallel or perpendicular to given lines through specific points.

What is the definition of parallel lines?

• Lines that intersect at multiple points

• Lines that intersect at one point

• Lines that intersect at right angles

• Lines that never intersect

What do parallel lines have in common?

• Same y-intercepts

• Different slopes

• Same slopes

• Different x-intercepts

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

• By calculating the slopes and checking if they are equal

• By checking if the coefficients of y are equal

• By checking if the coefficients of x are equal

• By checking if the constant terms are equal

What is the slope of a line parallel to y = 3x - 2 through the point (-1, -2)?

• -1/3

• -3

• 3

• 1/3

What property do perpendicular lines exhibit regarding their slopes?

• Their slopes are unrelated

• Their slopes are equal

• Their slopes are negative reciprocals

• Their slopes are positive reciprocals

What is the perpendicular slope to a line with a slope of 2?

• 2

• -1/2

• 1/2

• -2

How do you find the slope of a line in standard form Ax + By = C?

• A/B

• -B/A

• B/A

• -A/B

What is the y-intercept of a line perpendicular to y = 2x - 3 through the point (-2, 3)?

• 5

• 2

• 4

• 3

If two lines are perpendicular, what can be said about their angles of intersection?

• They intersect at 180 degrees

• They intersect at 90 degrees

• They intersect at 45 degrees

• They do not intersect

What is the slope of a line perpendicular to 2x - 3y = 6?

• -3/2

• 3/2

• -2/3

• 2/3