Green Bridge Learning Resource For Gradient Of Linear Graphs

Overview

The gradient of a line measures its steepness: how much it rises for each step across. It is one of the most useful numbers in mathematics because it captures a rate of change, and it is the key to writing the equation of a straight line.

In this lesson you will find the gradient of a straight line, and (at Extended) calculate it from the coordinates of two points using the rise-over-run formula.

Lesson Evaluation

Congratulations on completing the lesson on Gradient 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.

Find the gradient of the line through (1, 1) and (3, 5). A. 1 B. 2 C. 3 D. 4 Answer: B
The gradient is calculated as: A. run / rise B. rise / run C. rise x run D. rise + run Answer: B
A line slopes downwards from left to right. Its gradient is: A. positive B. negative C. zero D. undefined Answer: B
Find the gradient of the line through (2, 3) and (4, 11). A. 2 B. 4 C. 8 D. 14 Answer: B
A horizontal line has a gradient of: A. 1 B. -1 C. 0 D. infinity Answer: C