Above lines have equations y = 2x + 3, y = 2x - 1, y = -(1/2)x + 3 and 2y = -x + 1. These two lines have same gradient and different y-intercepts. Therefore lines with same gradients are parallel to each other.
Can you see a relationship between the gradients of perpendicular lines?
Which lines are parallel to each other?
Which lines are perpendicular to each other?
You can check your answers by plotting these equations in Desmos
1. y = 3x -1 2. y = x - 1 3. 3y = -x + 3 4. y/3 = x - 2 5. y = x/3 + 2
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