Exploring Parallel and Perpendicular Slopes

What is the defining characteristic of parallel lines?

• They always touch.

• They have different slopes.

• They have the same slope.

• They intersect at a 90-degree angle.

Which of the following pairs of equations represents parallel lines?

• y = -x + 4 and y = x - 4

• y = 3x + 2 and y = -3x + 5

• y = 4x - 1 and y = 4x + 3

• y = 2x + 1 and y = -2x - 1

If two lines have slopes of 2/3 and -3/2, what is their relationship?

• They are neither parallel nor perpendicular.

• They are parallel.

• They are perpendicular.

• They are the same line.

What must be true for two lines to be perpendicular?

• Their slopes must be positive.

• Their y-intercepts must be the same.

• Their slopes must be opposite reciprocals.

• Their slopes must be equal.

Given the equation y = -4x + 2, what is the slope of a line perpendicular to it?

• -4

• 1/4

• -1/4

• 4

Which of the following pairs of equations represents perpendicular lines?

• y = -3x + 2 and y = 3x - 2

• y = 2x + 3 and y = -1/2x - 4

• y = 5x + 1 and y = -5x - 1

• y = 1/3x - 1 and y = 3x + 5

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

• 1/3

• -3

• -1/3

• 3

What is the slope of a line parallel to y = -2/5x + 2?

• 5/2

• -2/5

• 2/5

• -5/2

Given the equation y = -2/5x + 2, what is the slope of a line perpendicular to it?

• -2/5

• -5/2

• 5/2

• 2/5

Which of the following equations represents a line parallel to y = -2/5x + 2?

• y = 5/2x + 3

• y = 2/5x - 1

• y = -2/5x + 7

• y = -5/2x + 4