From Equation: Problem Solving & Reasoning
Mathematics
Year 9
19 questions
~38 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of Y-intercept derived from equations, focusing on problem solving and reasoning skills.
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From Equation: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Introduction
Read the key concept carefully before attempting the questions.
1.
The Y-intercept of a linear equation is the point where the graph crosses the Y-axis, which occurs when x=0. To find it from an equation, substitute x=0 and solve for y.
[2 marks]2.
Find the Y-intercept of the equation y=3x+5.
[2 marks]3.
Determine the Y-intercept of y=-2x+4.
[2 marks]B
Fluency & Practice
Solve these procedures carefully, showing all steps.
1.
What is the Y-intercept of y= -x/2 + 7?
[2 marks]2.
Find the Y-intercept of y=4x - 9.
[2 marks]3.
Calculate the Y-intercept for y= -3x + 2.
[2 marks]4.
Determine the Y-intercept of y= 5x - 15.
[2 marks]C
Problem Solving & Reasoning
Apply your understanding to multi-step and reasoning questions.
1.
A line has the equation y=2x + c. If the line passes through the point (3, 8), find the value of c and the Y-intercept.
[4 marks]2.
The equation of a line is y= -x + 6. If the Y-intercept is known, what is the equation of the line? Explain your reasoning.
[4 marks]3.
A line's equation is y= 3x + k. Find the Y-intercept if the line passes through (2, 9).
[3 marks]D
Real-world Applications
Interpret the problems and find the Y-intercept in context.
1.
A taxi fare is modeled by the equation y=2x+3, where y is the total fare and x is the number of miles traveled. What is the initial fixed cost of the ride (Y-intercept)?
[3 marks]2.
A chemical reaction produces a substance whose concentration over time t (in minutes) is given by y= -0.5t + 10. What is the concentration at the start (Y-intercept)?
[2 marks]E
Challenge & Extension
Tackle these advanced problems requiring deeper reasoning.
1.
Given the equation y= 4x + c, find the value of c if the line passes through the points (5, 25) and (0, y).
[4 marks]2.
Construct the equation of a line with a Y-intercept of -4 and passing through (2, 4). What is the equation?
[4 marks]F
Mixed Review
Answer a variety of questions to consolidate your understanding.
1.
If y= -x + b and the line passes through (1, 2), find the value of b.
[2 marks]2.
Find the Y-intercept of the equation y= 7x - 14.
[2 marks]3.
Construct a line with a Y-intercept of 6 and slope 2. Write its equation.
[3 marks]G
Error Analysis
Review these common mistakes and identify the errors.
1.
A student finds the Y-intercept of y=2x+5 by substituting x=1. Identify and correct the mistake.
[3 marks]2.
A student states that the Y-intercept of y= -x+3 is 3. Is this correct? Why or why not?
[2 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)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet