Finding Slope from a Graph: Key Concepts

This video tutorial covers the concept of slope, explaining how to calculate it from a graph using the rise over run method. It provides examples of positive, negative, zero, and undefined slopes, demonstrating how to determine the slope by analyzing the changes in the vertical and horizontal directions. The tutorial also highlights special cases like horizontal and vertical lines, explaining why their slopes are zero and undefined, respectively.

What does the 'rise' represent in the context of finding the slope of a line?

• The change in the horizontal direction

• The change in the vertical direction

• The total distance between two points

• The angle of the line

In problem 1, what is the rise and run to find the slope?

• Rise: 2, Run: 1

• Rise: 1, Run: 2

• Rise: -1, Run: 2

• Rise: 1, Run: -2

What is the simplified slope for problem 2?

• 1

• 2

• -1

• -2

Why is the slope in problem 3 positive?

• Because the x-values decrease

• Because the line moves upwards

• Because the line moves downwards

• Because the y-values decrease

What is the slope for problem 4?

• 5/4

• -4/5

• 4/5

• -5/4

What is the slope of a horizontal line?

• Negative

• Undefined

• Positive

• Zero

In problem 6, what is the rise and run when starting from the rightmost point?

• Rise: -4, Run: -1

• Rise: 4, Run: 1

• Rise: 4, Run: -1

• Rise: -4, Run: 1

What is the slope for problem 6?

• -4

• 4

• 1

• -1

What is the simplified slope for problem 7?

• 4

• -4

• 2

• -2

Why is the slope of a vertical line undefined?

• Because the rise and run are equal

• Because the run is zero

• Because the rise is zero

• Because the line is horizontal