Finding Slopes of Parallel and Perpendicular Lines

What is a key characteristic of parallel lines?

• They have different slopes

• They never intersect

• They have varying distances between them

• They cross at a 90 degree angle

If two lines are parallel and one has a slope of 1/2, what is the slope of the other line?

• -1/2

• 2

• 1/2

• 0

What is the slope of a line perpendicular to another line with a slope of 4/3?

• -3/4

• -4/3

• 3/4

• 4/3

How do you find the opposite reciprocal of a fraction like 2/3?

• Change the sign and flip the fraction to 3/2

• Flip the fraction to 2/3 and change the sign

• Flip the fraction to 3/2 without changing the sign

• Change the sign but keep the fraction the same

What is the opposite reciprocal of -1?

• 1

• -1/1

• -1

• 1/1

If line A has a slope of -2 and is perpendicular to line B, what is the slope of line B?

• 2

• 1/2

• -1/2

• -2

What is the slope of line B if it is parallel to line A which has a slope of 3?

• 0

• 1/3

• -3

• 3

If a line has a slope of -3/4, what is the slope of a line perpendicular to it?

• -3/4

• 3/4

• -4/3

• 4/3

If the slope of line A is 1/3 and line B's slope is 3, are these lines perpendicular?

• Yes, because they are reciprocals

• No, because they are not opposite reciprocals

• Yes, because they are opposite

• No, because they are neither opposite nor reciprocals

Using the slope formula, what is the slope of a line passing through points (3,2) and (5,8)?

• 1

• 2

• 6

• 3