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, using various methods. It covers three calculation techniques: rise over run, change in y over change in x, and a simple method of measuring rise per unit run. The tutorial uses hill examples to illustrate positive, zero, and negative gradients. It further demonstrates gradient calculation on graphs, including long stretches, and explains the equations involved. The video concludes with examples of flat and negative gradients.

What does a gradient of 0 indicate about a line?

• The line is vertical.

• The line is flat.

• The line is horizontal.

• The line is steep.

Which method involves calculating how much a line rises for each unit it moves across?

• Quadratic method

• Slope-intercept method

• Rise over run method

• Point-slope method

If a line rises by 0.5 for every 1 unit it moves across, what is its gradient?

• 0

• 2

• 1

• 0.5

What is another way to express the 'rise over run' equation?

• Change in x over change in y

• Difference between x and y

• Change in y over change in x

• Sum of x and y

How do you calculate the gradient between two points that are far apart on a graph?

• By measuring the distance between the points

• By using the rise over run equation

• By counting the number of grid squares

• By estimating visually

What is the gradient of a line that slopes downwards from left to right?

• Positive

• Undefined

• Negative

• Zero

If a line goes down by 2 units for every 1 unit it moves across, what is its gradient?

• 0.5

• -0.5

• 2

• -2