Exploring Parallel and Perpendicular Lines in Algebra

What is the defining characteristic of two parallel lines?

• They intersect at a right angle.

• They intersect at multiple points.

• They have different slopes.

• They have the same slope.

If the original slope is 7/8, what is the perpendicular slope?

• 7/8

• 8/7

• -8/7

• -7/8

Given the slope -3, what is the parallel slope?

• 1/3

• -3

• 3

• -1/3

What is the perpendicular slope for the original slope of 1/6?

• -1/6

• -6

• 6

• 1/6

What is the slope-intercept form of a line passing through (8, 9) and parallel to y = 3/4x - 2?

• y = -3/4x + 3

• y = -3/4x - 3

• y = 3/4x - 3

• y = 3/4x + 3

What is the value of n for a line passing through (5, 6) and (10, n) parallel to y = -2/5x + 6?

• 6

• 4

• 2

• 8

What is the slope-intercept form of a line passing through (4, 5) and perpendicular to y = 2x - 3?

• y = -1/2x + 7

• y = 1/2x + 7

• y = -2x + 7

• y = 2x + 7

If the slope of one line is -4/3 and the slope of another line is -3/4, what is the relationship between the two lines?

• Neither

• Perpendicular

• Both

• Parallel

What is the slope of a line in standard form 3y = -4x + 6?

• 4/3

• -4/3

• -3/4

• 3/4

If two lines have the same slope, what can be said about their relationship?

• They intersect at a right angle.

• They are perpendicular.

• They are parallel.

• They are neither parallel nor perpendicular.