Slope and Intercept Concepts

The video tutorial covers Activity 2, focusing on deriving a general slope formula. It begins by introducing points A and B, explaining the concept of slope, and demonstrating how to calculate it. The tutorial then derives the equation of the line using the slope and verifies the calculations. The session concludes with a summary of the steps and encourages students to practice independently.

What are the coordinates of point A?

• (1, 11)

• (2, 8)

• (8, 2)

• (11, 1)

When moving from point A to B, what type of slope is observed?

• Positive

• Negative

• Zero

• Undefined

What is the change in y when moving from point A to B?

• -7

• 9

• -9

• 7

How many units do you slide the slope triangle down?

• 7 units

• 9 units

• 11 units

• 1 unit

What is the slope of the line connecting points A and B?

• -7/9

• 9/7

• 7/9

• -9/7

What is the y-intercept of the line derived from points A and B?

• 7

• 12 and 2/7

• 11

• 9/7

What is the equation of the line in slope-intercept form?

• y = -7/9x + 2

• y = 7/9x + 12

• y = 9/7x + 11

• y = -9/7x + 12 and 2/7

If x = 8, what is the corresponding y value according to the derived equation?

• 2

• 7

• 9

• 11

What is the result of substituting x = 1 into the equation?

• 2

• 11

• 9

• 7

What is the difference between 86 and 72 in the context of verifying the equation?

• 18

• 12

• 14

• 16