Understanding Graphs and Gradients

The video tutorial explains the concept of gradient, also known as slope, and its calculation using the 'rise over run' method. It discusses the interpretation of gradient values, such as steepness, and applies these concepts to real-world examples. The tutorial also covers the vertical intercept and its significance in graphing.

What is another term commonly used for 'gradient'?

• Width

• Depth

• Height

• Slope

How is the gradient of a line calculated?

• Rise over run

• Run over rise

• Difference between rise and run

• Sum of rise and run

What does a larger gradient indicate about a line's steepness?

• The line is vertical

• The line is horizontal

• The line is more steep

• The line is less steep

What is the gradient of a flat line?

• Undefined

• One

• Two

• Zero

What type of triangle is formed when the rise equals the run?

• Right

• Isosceles

• Scalene

• Equilateral

What angle does a line with a gradient of one make with the horizontal?

• 60 degrees

• 45 degrees

• 30 degrees

• 90 degrees

If a line has a gradient of two, how does it compare to a line with a gradient of one?

• Less steep

• Equally steep

• Twice as steep

• Half as steep

What does the vertical intercept represent in a graph?

• The length of the graph

• The steepness of the graph

• The point where the graph crosses the vertical axis

• The point where the graph crosses the horizontal axis

What is another name for the vertical intercept when the vertical axis is labeled 'y'?

• Slope

• Z-intercept

• Y-intercept

• X-intercept

In the context of a graph, what does the dependent variable typically represent?

• The origin

• The slope

• The vertical axis

• The horizontal axis