Exploring the Slope Formula

The video tutorial explains the slope formula, m = (y2 - y1) / (x2 - x1), and demonstrates how to calculate the slope between two points. It covers examples with detailed steps, highlights the importance of consistency, and addresses special scenarios like horizontal and vertical lines. The tutorial also shows how to calculate slope from a table of values, emphasizing the concept of 'change in y over change in x'.

What is the formula for calculating the slope between two points?

• m = x1 - x2 / y1 - y2

• m = y2 - y1 / x2 - x1

• m = x2 - x1 / y2 - y1

• m = y1 - y2 / x1 - x2

What does the triangle symbol (Δ) represent in the slope formula?

• Addition

• Multiplication

• Change in

• Division

In the first example, what is the slope when y2 = 12, y1 = 8, x2 = 3, and x1 = -13?

• 1/2

• 1/4

• 4/16

• 1/3

Why is it important to simplify the fraction when calculating the slope?

• To ensure the answer is in its simplest form

• To follow the rules of algebra

• To avoid mistakes

• To make it easier to read

In the second example, what is the slope when y2 = 16, y1 = -12, x2 = 5, and x1 = 19?

• -1/2

• -2

• 1/2

• 2

What should you do if you find a double negative in the slope calculation?

• Multiply it by 2

• Treat it as a negative

• Treat it as a positive

• Ignore it

What is the slope when the change in y is zero?

• Negative

• Undefined

• Zero

• Positive

What is the slope when the change in x is zero?

• Zero

• Negative

• Undefined

• Positive

How do you calculate the slope from a table of values?

• By adding the values

• By subtracting the values

• By finding the change in y over the change in x

• By multiplying the values

What does it mean if all y-values in a table are the same?

• The slope is negative

• The slope is undefined

• The slope is zero

• The slope is positive