Exploring Equations of Parallel and Perpendicular Lines

What is the defining characteristic of parallel lines?

• They lie in different planes.

• They form right angles where they intersect.

• They intersect at one point.

• They never intersect.

How do vertical lines relate to each other on a coordinate plane?

• They are always perpendicular.

• They are always parallel.

• They have the same y-intercept.

• They have a zero slope.

What is the slope of a line that is perpendicular to a line with a slope of 3?

• 1/3

• -3

• -1/3

• 3

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

• They intersect at a right angle.

• They have different y-intercepts.

• They are perpendicular.

• They are parallel.

Given points (1, 2) and (6, 7), what is the slope of the line passing through these points?

• 2

• 1/5

• 5

• 1

What is the slope of the line represented by the equation y = -1/4x + 3?

• -3

• 3

• -1/4

• 4

How do you convert the equation 4y = -x + 3 to slope-intercept form?

• y = 4x - 3

• y = -1/4x + 3/4

• y = 1/4x - 3/4

• y = -4x + 3

Which lines are parallel if their slopes are -1/4?

• Lines with slopes -1/4

• Lines with slopes 1/4

• Lines with slopes -4

• Lines with slopes 4

What is the equation of a line passing through (5, -4) and parallel to y = 2x + 3?

• y = 2x + 14

• y = 2x - 14

• y = -2x - 14

• y = -2x + 14

What is the slope of a line perpendicular to y = 1/2x + 3?

• -1/2

• 2

• -2

• 1/2