Parallel and Perpendicular Lines
Explore the properties of parallel and perpendicular lines, including their slopes and equations, through various exercises.
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Parallel and Perpendicular Lines
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following statements is true about parallel lines?
They intersect at a right angle.
They have the same slope.
They have slopes that are negative reciprocals.
They intersect at exactly one point.
2. What is the slope of a line perpendicular to y = 2x + 3?
2
-2
1/2
-1/2
3. The product of the slopes of two perpendicular lines is always 1.
True
False
4. All vertical lines are parallel to each other.
True
False
5. Lines that never intersect and have the same slope are called lines.
6. The slope of a horizontal line is .
7. The slope of a vertical line is .
8. Determine if the lines y = 3x + 5 and y = 3x - 2 are parallel, perpendicular, or neither. Explain your reasoning.
9. A line passes through the points (2, 4) and (6, 12). What is the slope of a line perpendicular to this line? Show your work.
10. Plot the line y = -1/2x + 3 on the graph below. Then, draw a line parallel to it passing through the point (0, -2).