Exploring Slope and Rate of Change

This video tutorial covers the concept of linear functions, focusing on the relationship between x and y as represented by a line on a coordinate plane. It explains the concept of slope, also known as the rate of change, using practical examples such as hills and graphs. The tutorial discusses different types of slopes, including positive, negative, horizontal, and vertical slopes, and provides methods to find slope on graphs. It also includes real-world examples to calculate slope and compares different slopes to understand steepness.

What is the relationship between slope and rate of change?

• They are completely different concepts.

• Rate of change only applies to non-linear functions.

• Slope is the steepness of a line, while rate of change is unrelated.

• Slope and rate of change are essentially the same.

Why is Hill B steeper than Hill A?

• Hill B has a greater vertical rise.

• Hill B has a shorter horizontal run for the same rise.

• Hill A has a greater vertical rise.

• Hill A has a shorter horizontal run.

Which of the following describes a positive slope?

• A line that goes from left to right and goes up.

• A line that goes from left to right and goes down.

• A horizontal line.

• A vertical line.

What is the slope of a horizontal line?

• Undefined

• Zero

• Negative

• Positive

How do you find the slope from a graph?

• By counting the rise over the run.

• By measuring the length of the line.

• By calculating the area under the line.

• By finding the midpoint of the line.

What should you be careful about when counting rise over run on a graph?

• The number of grid lines.

• The color of the graph.

• The units of the graph.

• The thickness of the line.

What is the slope if the rise is 2 and the run is 4?

• 1/2

• 2

• 4

• 1/4

If a line goes down from left to right, what type of slope does it have?

• Zero

• Negative

• Undefined

• Positive

What is the slope of a line that rises 10 units for every 3 units it runs horizontally?

• 3.33

• 10/3

• 3

• 1/3

If a line has a slope of 4, how does it compare to a line with a slope of 2?

• It is less steep.

• It is more steep.

• It is equally steep.

• It is horizontal.