Understanding Slope and Points

The video tutorial explains how to determine the slope of a linear function using a graph. It introduces the concept of slope as a measure of how a function changes, and provides the formula for calculating slope as the change in y over the change in x. The tutorial demonstrates selecting two points on a graph, using their coordinates to calculate the slope, and interpreting the result. The example used shows a positively growing linear function with a slope of 3, indicating that the function increases by three y-values for every one x-value.

What does the slope of a linear function represent?

• The total length of the line

• The rate of change of the function

• The maximum value of the function

• The starting point of the function

Which formula is used to calculate the slope of a line?

• Y2 + Y1 over X2 + X1

• Y2 - Y1 over X2 - X1

• X2 - X1 over Y2 - Y1

• Y1 - Y2 over X1 - X2

What are the coordinates of the first point selected on the graph?

• (3, 7)

• (0, 4)

• (1, 5)

• (2, 10)

How do you determine which point is point 1 and which is point 2?

• By choosing the point with the larger x-coordinate as point 1

• By choosing the point with the smaller y-coordinate as point 1

• By arbitrarily assigning the points as point 1 and point 2

• By choosing the point with the larger y-coordinate as point 2

What is the calculated slope of the function using the points (2, 10) and (0, 4)?

• 4

• 3

• 5

• 2

What does a positive slope indicate about the linear function?

• The function is undefined

• The function is growing

• The function is constant

• The function is decreasing