Finding Equations: Real-world Applications in Sports & Fitness
Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on finding equations of lines with context related to sports and fitness activities. It covers procedural skills, reasoning, and real-world applications.
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Finding Equations: Real-world Applications in Sports & Fitness
Subject: MathematicsGrade: Year 9
Name:
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 parallel to y=3x+2 that passes through the point (4, 7).
[2 marks]2.
Calculate the slope of the line passing through points (2, 5) and (6, 13).
[2 marks]3.
Write the equation of the line with slope -4 that passes through (3, -2).
[2 marks]4.
Construct the equation of a line parallel to y=2x-5 passing through (0, 4).
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working.
1.
A cyclist training track has a straight section where the line is represented by y=1.5x + 1. Calculate the equation of a parallel track section that passes through the point (4, 7).
[3 marks]2.
A football player runs along a path represented by y=2x-3. Another player starts running parallel at a point (2, 1). Find the equation of this parallel line.
[3 marks]3.
Explain why the lines y=4x+1 and y=4x-2 are parallel, and write their equations.
[3 marks]4.
A coach wants to mark two parallel running lanes on a track. The first lane is represented by y=1.2x+3. Find the equation of the second lane, which passes through (5, 9).
[3 marks]C
Real-world Applications
Answer all questions based on the context provided.
1.
A sprinter's track has a straight section modeled by y=2x + 5. A second track runs parallel and passes through the point (3, 11). Write the equation of this second track.
[3 marks]2.
A football field has sidelines represented by y=-x+10 and y=-x+2. Are these sidelines parallel? Justify your answer and write their equations.
[3 marks]3.
A fitness instructor designs two parallel running tracks. The first is y=0.5x+1, and the second passes through (4, 3). Find its equation.
[3 marks]D
Challenge & Extension
Attempt these more challenging problems. Show your detailed working.
1.
Two parallel lines are represented by y= -3x + b1 and y= -3x + b2. If the distance between the lines is 6 units, find the possible values of b1 and b2.
[4 marks]2.
A cyclist's path is modeled by y=4x-2. A new parallel track is to be constructed 3 units away. Write the equation of this new track.
[3 marks]E
Mixed Review & Error Analysis
Identify and correct the mistakes in the following questions.
1.
A line passes through (1,2) and has an equation y=5x+3. A student claims another line parallel to it passes through (2,4). Write its equation. Is the student's claim correct?
[4 marks]2.
A line with equation y=2x+5 is supposed to be parallel to a line passing through (3, 2). The student writes y=2x-1. Is this correct? Why or why not?
[3 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet