Exploring Equations of Parallel and Perpendicular Lines

What is the key characteristic of parallel lines in their equations?

• They have the same y-intercept.

• They have the same slope.

• They have opposite slopes.

• They have reciprocal slopes.

Which of the following pairs of equations represent parallel lines?

• y = 3x + 4 and y = -1/3x + 2

• y = 2/3x + 1 and y = 2/3x - 5

• y = 2/3x + 1 and y = -2/3x - 5

• y = 4x + 5 and y = -4x - 5

What is the relationship between the slopes of perpendicular lines?

• They are opposite reciprocals.

• They are reciprocals.

• They are opposite.

• They are the same.

Which of the following pairs of equations represent perpendicular lines?

• y = 2/3x + 1 and y = 2/3x - 5

• y = 3x + 4 and y = -1/3x + 2

• y = 1/2x + 3 and y = 2x - 1

• y = 4x + 5 and y = 4x - 5

What is the slope of a line parallel to y = 4x + 5?

• 4

• -4

• 1/4

• -1/4

If a line is parallel to y = 4x + 5 and passes through the point (8, -1), what is its y-intercept?

• -33

• 33

• -1

• 1

What is the equation of a line parallel to y = 4x + 5 that passes through (8, -1)?

• y = -4x - 33

• y = 4x + 33

• y = -4x + 33

• y = 4x - 33

What is the slope of a line perpendicular to y = 4x + 5?

• -1/4

• 1/4

• -4

• 4

If a line is perpendicular to y = 4x + 5 and passes through the point (8, -1), what is its y-intercept?

• 1

• -1

• -33

• 33

What is the equation of a line perpendicular to y = 4x + 5 that passes through (8, -1)?

• y = -4x - 1

• y = 4x + 1

• y = -1/4x + 1

• y = 1/4x - 1