Distance Between Parallel Lines
This worksheet focuses on calculating the distance between two parallel lines using various methods in coordinate geometry.
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Distance Between Parallel Lines
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Read each question carefully and show all your work. Use the provided space to write your answers.
1. Find the distance between the parallel lines given by the equations y = 2x + 3 and y = 2x - 7.
2. Calculate the distance between the parallel lines 3x + 4y = 6 and 3x + 4y = -4.
1. The formula for the distance between two parallel lines Ax + By + C1 = 0 and Ax + By + C2 = 0 is d = |C1 - C2| / .
2. To find the distance between parallel lines, you first need to ensure their equations are in the form.
1. Which of the following pairs of lines are parallel?
y = 3x + 1 and y = -3x + 1
y = 2x + 5 and y = 2x - 5
y = 4x + 2 and y = 1/4x + 2
y = 5x - 3 and y = -1/5x - 3
2. What is the slope of a line parallel to y = -1/2x + 4?
2
-2
1/2
-1/2
1. Parallel lines have the same slope but different y-intercepts.
True
False
2. The distance between two parallel lines is always positive.
True
False
1. Consider the lines L1: 4x - 3y + 10 = 0 and L2: 8x - 6y + 15 = 0. Are these lines parallel? If so, find the distance between them.
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