Understanding Gradients and Slopes

This video tutorial explains how to calculate the gradient or slope of a straight line. It covers the concept of gradient as the rise over run, with examples demonstrating positive and negative gradients. The video includes two example problems, showing step-by-step calculations of the gradient between given points, emphasizing the relationship between the rise and run in determining the slope.

What is the gradient of a line when moving upwards on a ramp?

• Undefined

• Zero

• Negative

• Positive

How is the gradient of a line calculated?

• Run divided by rise

• Sum of rise and run

• Rise divided by run

• Difference between rise and run

What is the gradient of a triangle with a rise of 3 and a run of 2?

• 1.5

• 2

• 3

• 0.5

If a triangle has a rise of -6 and a run of 3, what is its gradient?

• 3

• -3

• 2

• -2

In the first example problem, what is the rise between points P1 and P2?

• 3

• 2

• 6

• 9

What is the gradient of the line connecting points P1 and P2 in the first example?

• 1

• 2

• 4

• 3

In the second example, how many units do we travel to the right?

• 4

• 7

• 5

• 6

What is the reduced gradient of the line in the second example problem?

• 3/2

• -2/3

• -3/2

• 2/3

How do you simplify the fraction -9/6?

• 3/2

• 2/3

• -2/3

• -3/2

What is the final step in calculating the gradient of a straight line?

• Add rise and run

• Multiply rise and run

• Subtract run from rise

• Divide rise by run