Equations Of Linear Graphs
Overview
Every straight line can be captured in one tidy equation, \(y = mx + c\), where two numbers tell you everything: the gradient and where the line crosses the y-axis. Read those two numbers and you can draw the line; draw the line and you can read them back.
In this lesson you will interpret and find the equation of a straight-line graph in the form \(y = mx + c\), identifying the gradient and the y-intercept.
Objectives
- Interpret and obtain the equation of a straight-line graph in the form y = mx + c.
- Interpret and obtain the equation of a straight-line graph. (Extended only)
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Equations Of Linear Graphs. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- In y = mx + c, what does m represent? A. the y-intercept B. the gradient C. the x-intercept D. a constant of 0 Answer: B
- What is the gradient of y = 2x + 1? A. 1 B. 2 C. 3 D. -1 Answer: B
- Where does y = 2x + 1 cross the y-axis? A. (0, 1) B. (1, 0) C. (0, 2) D. (2, 0) Answer: A
- A line has gradient 3 and y-intercept -2. Its equation is: A. y = -2x + 3 B. y = 3x - 2 C. y = 3x + 2 D. y = 2x - 3 Answer: B
- What is the y-intercept of y = 4x + 5? A. 4 B. 5 C. -5 D. 0 Answer: B
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