Exploring Slope from a Graph

This video tutorial introduces the concept of slope, explaining how it represents the steepness of a line. It covers how to calculate slope from a graph using the rise over run method, with examples of both positive and negative slopes. The video also discusses horizontal and vertical lines, noting that horizontal lines have a slope of zero while vertical lines have an undefined slope.

What does the slope of a line represent?

• The steepness or slant of the line

• The color of the line

• The width of the line

• The length of the line

How can you determine the slope of a line from a graph?

• By calculating the area under the line

• By finding the midpoint of the line

• By counting the rise over the run

• By measuring the length of the line

What is the slope of a line that rises 2 units and runs 6 units?

• 1/3

• 2/6

• 3

• 6/2

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

• Undefined

• Positive

• Negative

• Zero

What is the slope of a line that goes down 4 units and runs 3 units?

• 3/4

• -4/3

• -3/4

• 4/3

Does the choice of points on a line affect the slope calculation?

• No, the slope remains the same

• Yes, it changes the slope

• Yes, but only for positive slopes

• No, but only for negative slopes

What is the slope of a line that goes down 2 units and runs 1 unit?

• -2

• 1/2

• -1/2

• 2

How do you choose points on a line with no predefined points?

• Choose points that are close together

• Choose points with whole number coordinates

• Choose points that are far apart

• Choose points that are easy to estimate

What is the slope of a horizontal line?

• Negative

• Undefined

• Zero

• Positive

What is the slope of a vertical line?

• Positive

• Negative

• Zero

• Undefined