Understanding Negative Slope Concepts

The video tutorial explains how to find the slope of a line using a slope triangle. It demonstrates drawing the triangle, calculating the slope, and understanding its negative value. The tutorial also discusses the real-world context of borrowing and repaying money, illustrating why the slope is negative as the amount owed decreases over time.

What is one method mentioned for finding the slope of a line?

• Drawing a slope triangle

• Using a calculator

• Guessing the slope

• Measuring with a ruler

What is the first step in identifying points on a line for slope calculation?

• Drawing a horizontal line

• Finding two points on the line

• Drawing a vertical line

• Calculating the midpoint

How do you determine the horizontal change in a slope triangle?

• By guessing the distance

• By counting the units between two x-coordinates

• By measuring the vertical distance

• By using a protractor

What is the vertical change if you move from 15 to 12 on the y-axis?

• 5

• 0

• -3

• 3

Why is the slope considered negative in this context?

• Because the line is vertical

• Because the line is horizontal

• Because the line goes down

• Because the line goes up

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

• The line is horizontal

• The line goes up from left to right

• The line is vertical

• The line goes down from left to right

In the context of borrowing and repaying money, what does a negative slope represent?

• Constant debt over time

• No change in debt

• Decreasing debt over time

• Increasing debt over time

What happens to the amount owed as time increases in this scenario?

• It decreases

• It stays the same

• It fluctuates

• It increases

Which of the following is a reason for a line to have a negative slope?

• The line is curved

• The line is moving upwards

• The line is flat

• The line is moving downwards

What is the relationship between the x and y values in a negative slope scenario?

• As x decreases, y decreases

• As x increases, y increases

• As x decreases, y increases

• As x increases, y decreases