Exploring Slopes of Parallel and Perpendicular Lines

What is a key characteristic of parallel lines?

• They form a triangle.

• They have opposite slopes.

• They have the same slope.

• They intersect at a 90-degree angle.

What does it mean for slopes to be opposite reciprocals?

• They are equal and negative.

• They are equal and positive.

• They have the same sign and are flipped.

• They have different signs and are flipped.

What is the opposite reciprocal of 2/3?

• 3/2

• 2/3

• -3/2

• -2/3

If a line has a slope of -1/2, what is the slope of a line perpendicular to it?

• -1/2

• 1/2

• -2

• 2

What is the slope of a line parallel to y = 2x + 1?

• 1

• 2

• 0

• -2

What is the slope of a line perpendicular to y = -3/4x + 8?

• 3/4

• -4/3

• 4/3

• -3/4

What is the slope of a line perpendicular to a line with slope 1/4?

• 4

• -4

• 1/4

• -1/4

If two lines have slopes of -4/5 and 5/4, what is their relationship?

• Coinciding

• Parallel

• Perpendicular

• Neither

If two lines have slopes of -1 and -1, what is their relationship?

• Neither

• Perpendicular

• Parallel

• Coinciding

If two lines have slopes of -2 and 2, what is their relationship?

• Coinciding

• Parallel

• Perpendicular

• Neither