Slope and Rise Over Run

The video tutorial explains the concept of slope, comparing it to ski slopes to illustrate steepness. It covers how to calculate slope as a ratio of rise over run, using graphs, points, and tables of values. The tutorial demonstrates finding slope from a graph, using two points, and from a table of values, emphasizing the importance of equivalent ratios and similar triangles. The video encourages students to practice these methods and understand the constant proportionality in proportional relationships.

What does the slope of a line represent in real-world terms?

• The color of the line

• The length of the line

• The width of the line

• The steepness of the line

In mathematics, which variable is commonly used to represent slope?

• k

• m

• s

• n

What is the slope of a line if the rise is 4 and the run is 6?

• 3/2

• 1/2

• 4/6

• 2/3

How do you simplify the ratio 6/4 to find the slope?

• Add 2 to both

• Divide both by 2

• Multiply both by 2

• Divide both by 3

If a line passes through the points (3, 1) and (-2, -2), what is the slope?

• 1/2

• 3/5

• 2/5

• 5/3

What is the slope of a line that rises 3 units and runs 2 units?

• 2/3

• 3/2

• 1/2

• 3/5

When plotting points from a table, what is the first step to find the slope?

• Connect the points with a line

• Calculate the rise

• Plot the ordered pairs

• Calculate the run

What is the simplified slope of a line with a rise of 5 and a run of 10?

• 1/2

• 1/5

• 5/10

• 2/5

How can you verify the slope of a line using a graph?

• By counting the number of points on the line

• By making a staircase pattern on the line

• By ensuring the rise and run are equal

• By checking if the line is straight

What is the slope of a line that rises 2 units and runs 5 units?

• 2/3

• 1/2

• 2/5

• 5/2