Understanding Slope of a Line

The video tutorial explains the concept of slope as the ratio of vertical change to horizontal change, often expressed as rise over run. It demonstrates how to calculate the slope of a line given two points by using the formula (Y2 - Y1) / (X2 - X1). Two examples are provided: one with a negative slope and another with a positive slope. The tutorial highlights how the slope affects the direction of the line, with negative slopes indicating a downward slant and positive slopes indicating an upward slant.

What is the slope of a line defined as?

• The ratio of horizontal change to vertical change

• The ratio of vertical change to horizontal change

• The difference between vertical and horizontal changes

• The sum of vertical and horizontal changes

How do we denote the coordinates of two points when calculating slope?

• Using letters A and B

• Using subscripts 1 and 2

• Using symbols X and Y

• Using numbers 1 and 2

In the first example, what is the calculated slope of the line?

• 2

• -3

• 3

• -2

What does a negative slope indicate about the direction of a line?

• The line slants downward

• The line is vertical

• The line is horizontal

• The line slants upward

In the second example, what is the initial ratio of vertical to horizontal change before simplification?

• 2/3

• 6/9

• 3/2

• 9/6

What is the simplified slope of the line in the second example?

• 3/2

• 2

• 1/2

• 2/3

What does a positive slope indicate about the direction of a line?

• The line is horizontal

• The line is vertical

• The line slants downward

• The line slants upward

How many units do you move vertically in the second example?

• 6 units

• 3 units

• 9 units

• 2 units

How many units do you move horizontally in the second example?

• 6 units

• 9 units

• 3 units

• 2 units

What is always true if the slope of a line is positive?

• The line is horizontal

• The line slants downward

• The line slants upward

• The line is vertical