Distance Between Two Parallel Lines
This worksheet focuses on understanding and calculating the distance between two parallel lines using coordinate geometry.
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Distance Between Two Parallel Lines
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. In your own words, explain what parallel lines are and what it means for them to be equidistant.
2. The distance between two parallel lines is always the at any point along the lines.
3. To find the distance between two parallel lines, you can choose any point on one line and find the distance to the other line.
4. Which of the following equations represents a line parallel to y = 2x + 3?
y = -2x + 1
y = 1/2x - 5
y = 2x - 4
y = -1/2x + 7
5. Consider the lines represented by the equations y = 3x + 2 and y = 3x - 3. Are these lines parallel? Explain your reasoning.
6. On the coordinate plane below, sketch two parallel lines. Label their equations.