Parallel Lines (Year 10)
Free printable UK Year 10 (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 9 · 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 = 6x - 6 and y = -5x - 3 parallel? Explain how you know.
- 2.Are the lines y = -4x + 6 and y = 3x - 1 parallel? Explain how you know.
- 3.Are the lines y = -2x - 3 and y = -4x + 10 parallel? Explain how you know.
- 4.Are the lines y = -4x - 8 and y = -4x - 4 parallel? Explain how you know.
- 5.Are the lines y = -6x - 5 and y = x - 4 parallel? Explain how you know.
- 6.Find the equation of the line that is parallel to y = -2x + 5 and passes through the point (2, -8).
- 7.Find the equation of the line that is parallel to y = -5x + 9 and passes through the point (-5, 25).
- 8.Find the equation of the line that is parallel to y = -4x + 6 and passes through the point (8, -22).
- 9.Find the equation of the line that is parallel to y = 5x + 4 and passes through the point (8, 36).
- 10.Find the equation of the line that is parallel to y = 4x - 2 and passes through the point (-2, -11).
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