Parallel Lines (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet: decide whether two lines are parallel by comparing gradients, and find the equation of a line parallel to a given one.
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Grade 10 · Math worksheet
Name
Date
Math
Parallel Lines
Two distinct straight lines in the form y = mx + c are parallel when they have the same gradient but different intercepts. Decide whether pairs of lines are parallel, or find the equation of a distinct parallel line through a given point.
- 1.Are the lines y = 3x - 4 and y = 4x - 9 parallel? Explain how you know.
- 2.Are the lines y = -6x and y = -6x - 7 parallel? Explain how you know.
- 3.Are the lines y = 3x + 1 and y = 3x - 4 parallel? Explain how you know.
- 4.Are the lines y = -x - 5 and y = -x - 8 parallel? Explain how you know.
- 5.Are the lines y = 5x - 3 and y = 5x - 1 parallel? Explain how you know.
- 6.Find the equation of the line that is parallel to y = x - 10 and passes through the point (6, -1).
- 7.Find the equation of the line that is parallel to y = x - 5 and passes through the point (7, 14).
- 8.Find the equation of the line that is parallel to y = -3x - 3 and passes through the point (-3, 4).
- 9.Find the equation of the line that is parallel to y = -x + 8 and passes through the point (6, 3).
- 10.Find the equation of the line that is parallel to y = -5x + 5 and passes through the point (-1, 5).
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