Finding Slope from Two Points

The video tutorial explains how to calculate the slope between two points without using a graph or table. It provides three examples, demonstrating the process of finding the change in y over the change in x, simplifying the slope, and handling negative values. The tutorial emphasizes using a table format for clarity and offers alternative methods for slope calculation.

What is the first step in finding the slope between two points without a graph?

• Find the midpoint

• Put the points in a table

• Calculate the distance between points

• Draw a graph

In the first example, what is the change in y when moving from point (1, 7) to point (6, 17)?

• 17

• 6

• 10

• 5

How do you write the slope as a fraction?

• Sum of x and y

• Change in x over change in y

• Product of x and y

• Change in y over change in x

What is the simplified form of the slope fraction 10/5?

• 1/2

• 2/1

• 5/10

• 1/1

In the second example, what is the result of subtracting the y-values -3 and 6?

• -3

• 9

• 3

• -9

What is the slope when the change in y is -9 and the change in x is -12?

• -9/12

• 9/12

• -3/4

• 3/4

What is the simplified form of the fraction -9/-12?

• 1/2

• -3/4

• 3/4

• -1/2

In the third example, what is the change in y from point (-6, 3) to point (4, -2)?

• 3

• -2

• 5

• -5

What is the change in x from point (-6, 3) to point (4, -2)?

• 4

• -10

• -4

• 10

What is the slope when the change in y is -5 and the change in x is 10?

• 5/10

• -5/10

• 1/2

• -1/2