Year 10 - Coordinate geometry - Free practice
Year 10 Coordinate Geometry Worksheets
Parallel, perpendicular, equations of lines from conditions.
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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.
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About this worksheet
Why we built it
Year 10 coordinate geometry adds parallel and perpendicular gradients to the Year 9 toolkit. These worksheets give your student practice writing the equation of a line from varied conditions - the format that shows up on every Year 10 Methods practice test.
What's covered
Sub-skills your student will practise
- ✓Identifying parallel vs perpendicular gradients
- ✓Equation of a line through a point with given gradient
- ✓Equation of a line through two points
- ✓Equation of a line parallel/perpendicular to another
- ✓Distance and midpoint applied to gradient questions
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From our families
Parents on the practice questions.
“Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.”
Rebecca M.
Year 8 · Maths
“My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.”
Priya S.
Year 9 · Maths
“I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.”
Ella, student
Year 10 · Maths
Frequently asked
Questions parents ask about coordinate geometry
What's special about parallel lines' gradients?
Parallel lines have equal gradients. So if one line has gradient 3, any line parallel to it also has gradient 3. The y-intercepts differ unless they're the same line.
What's special about perpendicular lines' gradients?
Perpendicular gradients multiply to -1. So a line perpendicular to y = 3x + 2 has gradient -1/3. Recognising this saves a lot of working on Year 10 geometry questions.
How do students find the equation of a line from a point and gradient?
Use point-gradient form: y - y1 = m(x - x1). Then rearrange into y = mx + c form. For point (2, 5) and gradient 3: y - 5 = 3(x - 2), so y = 3x - 1.
What does Year 10 coordinate geometry feed into?
Year 11 Methods uses these results constantly in calculus (tangent and normal lines), function transformations, and applications. Year 10 sets up the geometric language Methods relies on.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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