Writing Equations of Parallel and Perpendicular Lines

This video tutorial covers the concepts of parallel and perpendicular lines, explaining how to graph them and write equations for lines that are parallel or perpendicular to a given line. It emphasizes the importance of understanding slopes, particularly the same slopes for parallel lines and opposite reciprocal slopes for perpendicular lines. The tutorial includes examples and exercises to reinforce these concepts.

What is the main topic of this video?

• Solving quadratic equations

• Graphing linear equations

• Writing equations of parallel and perpendicular lines

• Understanding the Pythagorean theorem

What is the key characteristic of parallel lines?

• They have the same y-intercept

• They intersect at 90 degrees

• They have the same slope

• They have opposite reciprocal slopes

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

• They are parallel

• They are perpendicular

• They intersect at the origin

• They are horizontal

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

• 2

• -2

• 1/2

• -1/2

What do we call slopes that are flipped and have opposite signs?

• Reciprocal slopes

• Opposite slopes

• Parallel slopes

• Opposite reciprocals

What is the opposite reciprocal of 3/4?

• 4/3

• -3/4

• -4/3

• 3/4

What is the opposite reciprocal of -1/3?

• 1/3

• -1/3

• 3

• -3

What is the equation of a line that is parallel to y = 2x + 3 and passes through the point (-3, 5)?

• y = -2x + 11

• y = 2x - 1

• y = -2x + 5

• y = 2x + 11

What is the equation of a line that is perpendicular to y = -2x + 4 and has a y-intercept of -2?

• y = -1/2x - 2

• y = 1/2x - 2

• y = -2x - 2

• y = 2x - 2

What is the first step in writing the equation of a line that is parallel to a given line?

• Find the x-intercept of the given line

• Find the midpoint of the given line

• Find the y-intercept of the given line

• Find the slope of the given line