Finding the Slope: Techniques and Applications

The video tutorial explains how to find the slope of a line using different methods. It starts with the concept of rise over run for graphs, then moves to using the slope formula for ordered pairs, and finally demonstrates how to calculate slope from a table using changes in y and x values. The tutorial emphasizes the importance of reducing fractions and understanding the meaning of slope in different contexts, such as horizontal lines.

What does the variable 'm' represent in the context of a line's graph?

• Slope

• Coefficient

• Intercept

• Distance

If you move up 2 units and right 3 units on a graph, what is the slope of the line?

• 2/3

• -3/2

• 3/2

• -2/3

How do you simplify the slope of -4/6?

• 3/2

• -3/2

• 2/3

• -2/3

What is the slope of a line through points (2, 7) and (4, 13)?

• 3

• 6

• 1/3

• -3

If the slope formula results in 11/2, what should you do next?

• Leave as improper fraction

• Multiply by 2

• Convert to decimal

• Convert to mixed number

What is the slope of a line through points (0, -3) and (8, 8)?

• 11/8

• -3/8

• 8/11

• 3/5

How do you interpret a slope of -5/2 from a graph?

• Rise of -2, run of 5

• Rise of 2, run of -5

• Rise of -5, run of 2

• Rise of 5, run of -2

What does a slope of zero indicate about a line?

• Horizontal line

• 45-degree line

• Vertical line

• Undefined slope

If the change in y is 3 and the change in x is 1, what is the slope?

• 0

• 3

• 1/3

• -3

What is the slope if the change in y is 1 and the change in x is 2?

• 2

• 1/2

• 0

• -1/2