Exploring Slope from Graph and Formula

This video tutorial explains how to find the slope from two ordered pairs using two methods: graphically and algebraically. The graphical method involves plotting the points on a graph and calculating the rise over run. The algebraic method uses the slope formula, which is the change in y over the change in x. The video demonstrates both methods step-by-step, ensuring a clear understanding of how to calculate the slope.

What are the two methods mentioned for finding the slope?

• Using a calculator and graphing

• Graphing the points and using the slope formula

• Using a ruler and a protractor

• Using a table and a graph

When graphing the point (0, 2), where do you start?

• At the point (0, 0)

• At the point (2, 0)

• At the origin (0, 0)

• At the point (0, 2)

What is the rise when moving from the point (0, 2) to (5, 4)?

• 5

• 3

• 2

• 4

What is the run when moving from the point (0, 2) to (5, 4)?

• 3

• 2

• 5

• 4

What is the formula for finding the slope?

• m = (x2 - x1) / (y2 - y1)

• m = (y2 - y1) / (x2 - x1)

• m = (y1 - y2) / (x1 - x2)

• m = (x1 - x2) / (y1 - y2)

What are the coordinates of the first point in the table?

• (5, 4)

• (0, 0)

• (0, 2)

• (2, 0)

What is the label for the y-coordinate of the first point?

• y2

• x2

• x1

• y1

What is the value of y2 in the slope formula?

• 5

• 0

• 2

• 4

What is the value of x2 in the slope formula?

• 4

• 5

• 2

• 0

What is the final slope obtained using both methods?

• 5/2

• 2/4

• 4/5

• 2/5