Exploring Adding and Subtracting Rational Expressions

What defines parallel lines?

• Lines that intersect at 90 degrees

• Lines that never intersect

• Lines that intersect at any angle

• Lines that share a common point

How can you confirm two lines are parallel?

• They have the same y-intercept

• They intersect at one point

• They have different slopes

• They have the same slope

What is the slope relationship between perpendicular lines?

• Same slopes

• Opposite reciprocal slopes

• None of the above

• Equal y-intercepts

What does it mean for slopes to be negative reciprocals?

• They are both positive fractions

• They are the same but opposite in sign

• They are the same fraction

• They are flipped fractions and opposite in sign

What is the opposite reciprocal of 4/3?

• -3/4

• 4/3

• 3/4

• -4/3

How do you find the slope from two points (x1, y1) and (x2, y2)?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• None of the above

• (y1 - y2) / (x1 - x2)

If lines AB and CD have slopes of 3/4, what can be said about these lines?

• They are parallel

• They are perpendicular

• They intersect at one point

• They are neither parallel nor perpendicular

If line AB has a slope of 1/3 and line CD has a slope of -3, how are these lines related?

• Identical

• Neither

• Perpendicular

• Parallel

In the equation y = 7x + 2 and y = 7x - 1, how are the lines related?

• None of the above

• Intersecting at one point

• Parallel

• Perpendicular

What is the relationship between lines with slopes 4/5 and -5/4?

• Neither

• Identical

• Perpendicular

• Parallel