Finding Equations: Mixed Review
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing how to find equations of lines, particularly focusing on perpendicular lines, suitable for Year 9 students.
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Full preview • 12 questions
Finding Equations: Mixed Review
Subject: MathematicsGrade: Year 9
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Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the equation of a line passing through the point (3, 2) with a gradient of 4.
[2 marks]2.
Write the equation of a line perpendicular to y = -1/2 x + 5 that passes through the point (4, -3).
[2 marks]3.
Calculate the gradient of a line perpendicular to y = 3x - 7.
[2 marks]4.
Determine the equation of a line passing through (0, 0) with a gradient of -2.
[2 marks]B
Problem Solving & Reasoning
Answer all questions clearly, showing your full working.
1.
A line passes through the point (2, 3) and is perpendicular to the line 2x + 3y = 6. Find the equation of this line.
[4 marks]2.
Two lines are perpendicular. One has a gradient of 5. Find the equation of the other line passing through the point (1, -4).
[3 marks]3.
Explain the steps to find the equation of a line perpendicular to y = -2x + 1 that passes through (5, 2).
[4 marks]C
Real-world Applications
Solve the following problems based on real-world scenarios.
1.
An engineer designs a ramp that is perpendicular to a walkway represented by the line y = 4x + 2. If the ramp passes through the point (3, 7), what is its equation?
[3 marks]2.
A satellite dish is aligned such that its line of reflection is perpendicular to the satellite's signal path, which follows y = 2x - 3. If the dish is located at (4, 1), find its line of orientation.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems to extend your understanding.
1.
Construct the equation of the line perpendicular to y = -3x + 4 that passes through the midpoint of the segment joining (1, 2) and (5, 6).
[4 marks]2.
Given two lines with equations y = 2x + 1 and y = -1/2 x + 3, determine if they are perpendicular and justify your answer.
[3 marks]E
Mixed Review & Error Analysis
Review the following errors and correct them.
1.
A student claims the line perpendicular to y = 5x + 2 passing through (1, -1) has the equation y = -5x + 4. Identify the mistake and write the correct equation.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet