Understanding Slope in Geometry

The video tutorial explains how to find the slope of a line by identifying two points where the line crosses the grid perfectly. It covers the concept of 'rise over run' and demonstrates how to calculate slope using two points. Different types of slopes, such as positive, negative, zero, and undefined, are discussed. The tutorial also explores real-world applications of slope, such as in roofing and road grades. Algebraic methods for finding slope from equations are explained, and the concept of perpendicular slopes is introduced, including how to calculate them by flipping and reversing the original slope.

What is the first step in finding the slope of a line?

• Measure the angle of the line.

• Calculate the distance between two points.

• Determine the length of the line.

• Identify where the line crosses the grid perfectly.

How is the slope of a line calculated?

• By dividing the run by the rise.

• By multiplying the rise and run.

• By dividing the rise by the run.

• By adding the rise and run.

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

• 2/3

• 3/2

• 2

• 1/2

What is the slope of a line that passes through the points (0, 0) and (2, 3)?

• 3/2

• 2/3

• 1/2

• 2

What is the slope of a line that passes through the points (0, 0) and (4, 2)?

• 1

• 2/1

• 2

• 1/2

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

• 2

• 3

• 1

• 4

What is the slope of a line that passes through the points (2, 3) and (5, 7)?

• 4/3

• 1/3

• 3/4

• 3

What is the slope of a line that passes through the points (3, 4) and (6, 8)?

• 1/3

• 3

• 3/4

• 4/3

What is the slope of a line that passes through the points (4, 5) and (8, 10)?

• 5/4

• 4/5

• 4

• 1/4

What is the slope of a line that passes through the points (5, 6) and (10, 12)?

• 6/5

• 5/6

• 1/5

• 5