Equations of Parallel and Perpendicular Lines Explained

What defines two lines as parallel?

• They have the same slope.

• They have the same y-intercept.

• They are curved lines.

• They intersect at a right angle.

How can you determine if two lines are parallel from their equations?

• By determining if they are both straight lines.

• By comparing their y-intercepts.

• By checking if they have the same slope.

• By checking if they intersect.

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

• 0

• 3/2

• -2/3

• 2/3

If a line has a slope of 2/3, what is the slope of a line parallel to it?

• 2/3

• -2/3

• -3/2

• 3/2

What is the relationship between the slopes of two perpendicular lines?

• They are equal.

• They are negative reciprocals.

• They sum up to zero.

• They are both positive.

Which of the following slopes would be perpendicular to a line with slope 3/4?

• -4/3

• 4/3

• -3/4

• 3/4

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

• -3

• -1/3

• 1/3

• 3

How do you find the equation of a line parallel to another line and passing through a given point?

• Use the perpendicular bisector theorem.

• Use the same slope and different y-intercept.

• Use a different slope and the same y-intercept.

• Use the negative reciprocal of the slope.

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

• Undefined

• 0

• -1

• 1

Which equation represents a line that passes through the point (1, 2) and is perpendicular to x + y = 4?

• y = x + 1

• y = -x + 3

• y = x - 1

• y = -x + 1