Understanding Slope of a Line

The video tutorial explains how to determine the slope of a line on a graph. It introduces the concept of slope as the ratio of vertical change to horizontal change, also known as rise over run. The tutorial demonstrates how to identify two points on a line, calculate the vertical and horizontal changes, and use these to find the slope. It also covers the use of the slope formula, which involves finding the difference in y-coordinates over the difference in x-coordinates. The video concludes by noting that a negative slope indicates a line sloping downward from left to right.

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 sum of vertical and horizontal changes

• The difference between vertical and horizontal changes

If a line passes through the points (0, 4) and (2, 1), what is the vertical change?

• 3 units down

• 2 units down

• 3 units up

• 2 units up

How many units do you move horizontally from (0, 4) to (2, 1)?

• 1 unit right

• 2 units right

• 1 unit left

• 2 units left

What is the slope of the line passing through (0, 4) and (2, 1)?

• -3/2

• 3/2

• -2/3

• 2/3

Where can the negative sign be placed in the slope -3/2?

• Only in the denominator

• Only in the numerator

• In the numerator, denominator, or in front of the fraction

• Only in front of the fraction

What is the formula for calculating slope using two points?

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 - x2) / (y1 - y2)

Using the slope formula, what is the slope of the line through (0, 4) and (2, 1)?

• 2/3

• -2/3

• 3/2

• -3/2

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

• The line is horizontal

• The line is vertical

• The line slopes upward from left to right

• The line slopes downward from left to right

Which of the following is true for a line with a negative slope?

• It forms a vertical line

• It remains constant

• It falls as it moves from left to right

• It rises as it moves from left to right

What is always true about a line with a negative slope?

• It slopes downward from left to right

• It slopes upward from left to right

• It is horizontal

• It is vertical