Calculating Slope from Two Points

The video tutorial explains how to calculate the slope of a line using two points. It covers the concepts of rise and run, and how to apply the slope formula. The instructor provides examples and addresses common mistakes, such as subtracting negative numbers. The tutorial emphasizes the importance of understanding the rise over run ratio and how it relates to the slope or rate of change of a line.

What do you need to calculate the slope of a line?

• The y-intercept

• The entire graph

• The equation of the line

• Two points on the line

Which axis is associated with the 'rise' in the slope formula?

• X-axis

• None of the above

• Y-axis

• Z-axis

How do you calculate the 'run' in the slope formula?

• Add the initial x-coordinate to the final x-coordinate

• Subtract the initial y-coordinate from the final y-coordinate

• Multiply the initial x-coordinate by the final x-coordinate

• Subtract the initial x-coordinate from the final x-coordinate

What is the general formula for calculating slope?

• (x2 - x1) / (y2 - y1)

• (x1 - x2) / (y1 - y2)

• (y2 - y1) / (x2 - x1)

• (y1 - y2) / (x1 - x2)

In the example, what is the rise if y1 = -2 and y2 = 1?

• 3

• -3

• 1

• -1

In the example, what is the run if x1 = 5 and x2 = 3?

• 2

• -2

• -8

• 8

What is the slope of the line if the rise is 3 and the run is -2?

• 2/3

• -3/2

• 3/2

• -2/3

What is a common mistake students make when subtracting negative numbers?

• Subtracting a negative as a positive

• Forgetting to change the sign

• Adding instead of subtracting

• Forgetting to subtract

In the second example, what is the rise if y1 = 4 and y2 = -10?

• -6

• 14

• 6

• -14

What is the slope of the line if the rise is -14 and the run is -3?

• -3/14

• 3/14

• 14/3

• -14/3