Compare and contrast parallel lines and perpendicular lines. Given examples of each including examples where the slope of at least one of the lines is 0.
What will be an ideal response?
Parallel lines have the same slope.
In the equations y1 = m1x + b1 and y2 = m2x + b2, m1 = m2.
Examples: y = 2x + 3, y = 2x + 4
If m = 0, both parallel lines will be horizontal and of the form y = b.
Examples. y = 3 and y = 4.
Perpendicular lines have slopes whose product is -1.
In the equations y1 = m1x+ b1 and y2 = m2x + b2, m1 x m2.= -1
Examples: y =-3x + 3, y = 1/3 x + 4
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