Exploring the Slope of a Line

The video tutorial covers the concept of slope, explaining it as the vertical change over the horizontal change, or rise over run. It discusses different types of slopes, including positive, negative, zero, and undefined slopes. The tutorial also demonstrates how to calculate slope using the formula (Y2 - Y1) / (X2 - X1) with examples. Additionally, it distinguishes between constant and variable rates of change, emphasizing the importance of understanding these concepts for linear and nonlinear functions.

What is the formula for calculating the slope of a line?

• Sum of vertical and horizontal changes

• Product of vertical and horizontal changes

• Vertical change divided by horizontal change

• Horizontal change divided by vertical change

Which type of slope is represented by a line that goes upwards from left to right?

• Positive slope

• Undefined slope

• Negative slope

• Zero slope

What does a horizontal line represent in terms of slope?

• Zero slope

• Positive slope

• Negative slope

• Undefined slope

How do you represent the change in Y in the slope formula?

• Gamma Y

• Delta X

• Beta X

• Delta Y

If the slope of a line is calculated as -3/4, what does this indicate about the line?

• The line is horizontal

• The line slopes upwards

• The line slopes downwards

• The line is vertical

What is the slope of a line that passes through the points (1, 7) and (9, 1)?

• -4/3

• 3/4

• -3/4

• 4/3

What is the slope of a line that passes through the points (-2, -3) and (4, 6)?

• 2/3

• 2/1

• 1/2

• 3/2

What does a constant rate of change indicate about a graph?

• The graph is nonlinear

• The graph has a variable slope

• The graph is linear

• The graph has no slope

Which graph represents a variable rate of change?

• A curved line

• A straight line

• A vertical line

• A horizontal line

What is the most important formula to remember when calculating the slope?

• y1 - y2 / x1 - x2

• x2 - x1 / y2 - y1

• y2 - y1 / x2 - x1

• x1 - x2 / y1 - y2