Exploring the Rate of Change from Two Points

The video tutorial introduces the concept of slope and demonstrates how to calculate it using the slope formula. It covers four examples, each illustrating different scenarios: basic calculation, handling double negatives, zero slope, and undefined slope. The tutorial emphasizes labeling points, using the formula, and simplifying results. It concludes with a recap of the key steps in finding the slope from two points.

What does the slope of a line represent?

• The change in x values only

• The change in y values only

• The change in both x and y values

• The sum of x and y values

Which formula is used to calculate the slope between two points?

• (y2 + y1) / (x2 + x1)

• (x2 + x1) / (y2 + y1)

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

What is the first step in finding the slope between two points?

• Label the points

• Subtract the x coordinates

• Divide the coordinates

• Subtract the y coordinates

In the first example, what is the slope of the line passing through points (1, 2) and (-4, 3)?

• -1/5

• 1/5

• -5

• 5

In the second example, what happens when you have double negatives in the slope formula?

• They are ignored

• They cancel out

• They remain negative

• They become positive

What is the simplified slope of the line passing through points (-7, -4) and (-3, -2)?

• 2

• -1/2

• 1/2

• -2

In the third example, what is the slope of the line passing through points (8, 7) and (-1, 7)?

• Negative one

• One

• Zero

• Undefined

What is the name given to a slope of zero?

• Zero slope

• Flat slope

• Undefined slope

• Positive slope

In the fourth example, what is the slope of the line passing through points (-2, 1) and (-2, 5)?

• Negative one

• One

• Zero

• Undefined

What should you do if the denominator in the slope formula is zero?

• Ignore it

• Consider the slope as undefined

• Recalculate the points

• Consider the slope as zero