Introduction to Basic Graphs and Calculating the Gradient

The video tutorial explains how coordinate points form lines, including horizontal, vertical, and diagonal lines. It covers the concept of line steepness, known as the gradient, and demonstrates how to calculate it using graphs. The tutorial also discusses the relationship between X and Y coordinates in forming equations for different types of lines.

What is the equation of a horizontal line where the y-coordinate is always 5?

• x = 5

• y = 5

• x = 0

• y = 0

If a line is vertical and passes through x = -7, what is its equation?

• y = 7

• x = -7

• y = -7

• x = 7

How do you express a diagonal line where the y-coordinate is always two more than the x-coordinate?

• y = 2x

• x = 2y

• x = y + 2

• y = x + 2

What is the term used to describe the steepness of a line?

• Gradient

• Angle

• Slope

• Incline

Which type of gradient indicates a line going uphill?

• Negative gradient

• Zero gradient

• Undefined gradient

• Positive gradient

What is the gradient of a line if the change in y is 3 and the change in x is also 3?

• 0

• 1

• 2

• 3

If a line has a gradient of 2, what does this mean in terms of rise and run?

• For every 2 units run, the rise is 2 units

• For every 1 unit run, the rise is 1 unit

• For every 2 units run, the rise is 1 unit

• For every 1 unit run, the rise is 2 units

How can you calculate the gradient using the rise over run method?

• Divide the run by the rise

• Multiply the rise by the run

• Divide the rise by the run

• Subtract the run from the rise

What is the gradient of a line if the rise is 6 and the run is 3?

• 4

• 3

• 2

• 1

Which equation represents a line with a gradient of 1?

• y = x - 1

• y = x

• y = 2x

• y = x + 1