Finding the Slope: Exploring Positive, Negative, Zero, and Undefined Slopes

The video tutorial explains the concept of slope, which is the inclination of a line. It covers the properties of slope, including positive, negative, zero, and undefined slopes. The tutorial demonstrates how to calculate slope using the rise over run method and the formula y2-y1/x2-x1. It provides examples of calculating negative, positive, and undefined slopes, emphasizing the importance of maintaining consistent order in calculations.

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

• The line is going up to the right.

• The line is horizontal.

• The line is going down to the right.

• The line is vertical.

How is slope defined in terms of rise and run?

• Sum of vertical and horizontal changes

• Difference between vertical and horizontal changes

• Horizontal change over vertical change

• Vertical change over horizontal change

Which of the following is the correct formula for slope?

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

What mistake do students often make when using the slope formula?

• Dividing the coordinates incorrectly

• Multiplying the coordinates

• Adding the coordinates instead of subtracting

• Putting X's in the numerator and Y's in the denominator

In the example where the slope is found by counting rise and run, what is the slope of the line?

• -2/3

• -3/2

• 2/3

• 3/2

When using the slope formula, why is it important to maintain consistent order?

• To avoid incorrect slope values

• To make calculations easier

• To ensure the slope is always positive

• To match the coordinates correctly

In the second example, what is the slope of the line when using the formula?

• -1

• Undefined

• 0

• 1

What does a slope of 1 indicate about the line?

• The line rises 1 unit for every 1 unit it runs.

• The line is horizontal.

• The line is vertical.

• The line decreases 1 unit for every 1 unit it runs.

What is the slope of a vertical line?

• Undefined

• Positive

• Zero

• Negative

What is the slope of a horizontal line?

• Negative

• Positive

• Zero

• Undefined