GCSE Maths - How to Find the Gradient of a Straight Line #65

The video tutorial explains the concept of gradient, a measure of line steepness, and demonstrates how to calculate it using three methods: rise over run, change in y over change in x, and a simple visual method. The tutorial uses examples of hills and graphs to illustrate positive, zero, and negative gradients. It provides step-by-step instructions for calculating gradients on graphs, including for long stretches, and emphasizes the equivalence of the rise over run and change in y over change in x equations.

What does a gradient of 0 indicate about a line?

• The line is steep.

• The line is flat.

• The line is vertical.

• The line is horizontal.

How do you calculate the gradient using the simplest method?

• By measuring the total length of the line.

• By finding the difference in x-coordinates.

• By counting the number of points on the line.

• By determining how much the line rises for each unit it moves across.

What is the gradient of a line that rises by 0.5 for every 1 unit it moves across?

• 0.5

• 1

• 2

• 0

Which equation can be used to calculate the gradient of a line?

• Height divided by base

• Width divided by height

• Rise divided by run

• Length divided by width

If a line goes from y = -1 to y = 2 while x goes from -4 to 2, what is the gradient?

• 3

• 0.5

• 1

• 2

What is the gradient of a line that does not rise at all?

• 1

• 0

• -1

• 2

How do you determine the gradient of a line that slopes downwards?

• By measuring the total length of the line.

• By counting the number of points on the line.

• By finding the positive change in y over change in x.

• By finding the negative change in y over change in x.