Graphing and Slope: Analyzing Slope from Graphs

This video tutorial explains the concept of slope, often referred to as the rate of change, and demonstrates how to calculate it from a graph. The slope is determined by the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. The tutorial provides examples of both positive and negative slopes, illustrating how to identify and calculate them using specific points on a graph. The video emphasizes the importance of understanding slope as a measure of a line's steepness and its role in describing how relationships change.

What does the slope of a line measure?

• The width of the line

• The color of the line

• The steepness of the line

• The length of the line

What is another term often used for slope?

• Rate of distance

• Rate of change

• Rate of speed

• Rate of time

Which letter is commonly used to represent the slope?

• n

• s

• r

• m

How do you calculate the slope of a line?

• Difference of rise and run

• Sum of rise and run

• Rise over run

• Run over rise

If a graph rises 4 units and runs 6 units, what is the slope?

• 3/2

• 2/3

• 6/4

• 4/6

How can the fraction 4/6 be simplified?

• 4/5

• 3/4

• 2/3

• 1/2

What does a slope of 2/3 mean in terms of rise and run?

• For every 2 units down, it runs 3 units

• For every 3 units down, it runs 2 units

• For every 2 units up, it runs 3 units

• For every 3 units up, it runs 2 units

In the second example, what is the rise if the graph goes down 3 units?

• -4

• 4

• -3

• 3

What is the run if the graph moves 4 units to the right?

• -4

• 4

• -3

• 3

What is the slope if the rise is -3 and the run is 4?

• -3/4

• 3/4

• -4/3

• 4/3