Given m and c: Real-world Applications
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring equations of lines with given gradient (m) and intercept (c), including real-world scenarios and problem-solving tasks.
Worksheet Preview
Full preview • 11 questions
Given m and c: Real-world Applications
Subject: MathematicsGrade: Year 9
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Write the equation of a line with a gradient of 3 and y-intercept of -2.
[2 marks]2.
Calculate the y-value when x=4 for the line y=5x+1.
[2 marks]3.
Plot the graph of y=2x+3 on the grid provided.
[2 marks]4.
Construct a line with a gradient of -1 and passing through the point (2, 4). Write its equation.
[3 marks]5.
A car rental company charges a flat fee of $50 plus $0.20 per mile. Write the cost equation C(m) where m is miles driven.
[3 marks]6.
At a certain point, the line y=4x+2 intersects the x-axis. Find the x-intercept.
[2 marks]7.
A swimming pool is being filled at a rate of 10 liters per minute. The initial volume is 100 liters. Write the equation for the volume V(t) in liters over time t (minutes).
[3 marks]8.
A cyclist starts 5 km west of a point and moves east at 15 km/h. Write the equation of her position P(t) relative to the starting point after t hours.
[3 marks]9.
Challenge: Find the equation of a line with a gradient of 2, passing through the point (1, 3), and describe its slope and intercept.
[3 marks]10.
Error Analysis: A student writes the equation y= -3x+5 when asked for a line with m=3 and c=5. What is the mistake? Correct the equation.
[2 marks]11.
Mixed Review: Given the line y=7x-4, find the y-value when x=0 and x=2.
[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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet