Year 9 - Linear equations and graphs - Free practice
Year 9 Linear Equations & Graphs Worksheets
Sketch from gradient/intercept, solve from any form.
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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.
Textbook questions won't lift a test mark.
They come sorted by topic, so your child knows the method before they read the question.
That's where Tuterly comes in and closes the gap: unlimited questions, mixed up, under test conditions, including worded problems.
- ✓Unlimited questions on entire topics, mixed difficulty, VCAA aligned
- ✓Printable test, plus a separate answer key for marking
- ✓Any topic, any time, designed to mimic actual test questions
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About this worksheet
Why we built it
Year 9 students should be able to look at any linear equation - in any form - and sketch it. These worksheets practise that across the forms they'll meet (y = mx + c, ax + by = c, x = k, y = k) and tie sketching back to solving.
What's covered
Sub-skills your student will practise
- ✓Sketching from y = mx + c using gradient and intercept
- ✓Sketching from two known points
- ✓Sketching horizontal and vertical lines
- ✓Solving linear equations algebraically
- ✓Finding the intersection of two lines
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Or generate any topic from the full worksheet builder.
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 linear equations and graphs
What forms can a linear equation take?
y = mx + c (gradient-intercept form), ax + by + c = 0 (general form), and special cases like x = k (vertical line) and y = k (horizontal line). Year 9 expects students to sketch any of them.
How do students sketch from gradient-intercept form?
Plot the y-intercept (the 'c' value) on the y-axis. Then use the gradient (rise/run) to find a second point. Draw a straight line through both points.
How do students find the intersection of two lines?
Set the equations equal to each other (or use substitution / elimination), solve for x, then substitute back to find y. The intersection point is (x, y). This is a Year 9 preview of simultaneous equations.
Are vertical and horizontal lines linear equations?
Yes - y = k is a horizontal line at height k, and x = k is a vertical line at position k. Vertical lines have an undefined gradient (rise over zero), which Year 9 introduces formally.
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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Talk to us about Year 9 linear equations and graphs.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.