GCSE Secondary Maths Age 13-17 - Graphs: Straight Lines and Gradients - Explained

The video tutorial explains how to analyze a graph showing volume over time. It covers finding the gradient by calculating the rise over run, interpreting the gradient as the change in volume over time, and understanding the graph's intercept, which indicates the initial volume in the container. Each part of the tutorial is associated with specific marks for correct methods and answers.

What is the first step in finding the gradient of a graph?

• Find the midpoint of the line

• Calculate the area under the curve

• Draw a right-angled triangle

• Identify the intercept

Why is it important to be careful with scaling on the axes?

• To make the graph look symmetrical

• To accurately calculate the gradient

• To find the intercept easily

• To ensure the graph is colorful

What does the gradient of a graph typically represent?

• The change in volume over time

• The total volume

• The initial volume

• The time taken to fill the container

Where does the graph intersect the volume axis?

• At L = 6

• At L = 2

• At L = 0

• At L = 4

What does the intercept at L = 4 indicate?

• The container has 4 liters at T = 0

• The container is full at T = 0

• The container has 2 liters at T = 0

• The container is empty at T = 0