FunctionsCourse skill

Equations of parallel lines

Use equal gradients to find parallel line through a given point.

  • Distinct parallel non-vertical lines have the same gradient.
  • Read the gradient from the given line, then use the new point.

Example 1

Keep the gradient

Find the equation of the line. Through , parallel to .

Apply this to both sides.

Example 2

Determine the equation of the required line. Through , parallel to .

Expand the brackets and collect like terms.Apply this to both sides.

Your turn

Question 1

Find the equation of the line through parallel to .

Check answer
Apply this to both sides.
Question 2

Find the equation of the line through parallel to .

Check answer
Apply this to both sides.
Question 3

Find the equation of the line through parallel to .

Check answer
Apply this to both sides.
Question 4

Find the equation of the line through parallel to .

Check answer
Apply this to both sides.
Question 5

Find the equation of the line through parallel to .

Check answer
Apply this to both sides.
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