Parallel and Perpendicular Lines

Parallel lines on a graph will cross once.  TRUE OR FALSE

• TRUE
• FALSE

Parallel Lines have equations with equal slopes and different y-intercepts.  TRUE OR FALSE

• TRUE
• FALSE

Which statement correctly describes the graph?

• The lines are parallel because they have different slopes.
• The lines are NOT parallel because they have different y-intercepts.
• The lines are parallel since they have the same slope and different y-intercepts.
• The lines are perpendicular.

Given the equations below determine if they are parallel or not.  y = 4x - 2 and  y = 5 + 4x

• Yes, They are parallel
• No, They are not parallel

Are the following equations parallel or not? HINT: Solve the second equation for y so that it is in y=mx + b form. y = 2x - 5 and 4x + 2y = 10

• Yes, they are parallel
• No, they are not parallel

Given the equations in point slope form, do the equations form parallel lines? y - 2 = 4(x + 1) and y - 2 = 4(x + 6)

• Yes, they are parallel
• No, they are not parallel

REVIEW**  Which of the following is an equation of a line in point slope form, with a slope of -5 that goes through the point (2, -3)?

• y - 2 = -5(x - 3)
• y + 3 = -5(x - 2)
• y - 3 = -5(x + 2)
• y - 5 = 2(x + 3)

REVIEW** Given the equation in point slope form, y - 1 = 3(x + 2), which of the following represents the slope and a point on the line.

• m = 3;  (-2, 1)
• m = 1;  (3, 2)
• m = 3;  (2, 1)
• m = 3;  (-2, -1)

Perpendicular lines have the ______ slope.

• Different

• Same

• Negative

• Opposite Reciprocal

Parallel lines have the ______ slope.

• Different

• Same

• Negative

• Opposite Reciprocal