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Understanding Tangent Line Slopes

Understanding Tangent Line Slopes

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
8.EE.B.5

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.8.EE.B.5
The video tutorial explains how to estimate the slope of tangent lines at various points on a graph. It begins with calculating the slope at x = -3 using both graphical and formulaic methods, resulting in a slope of approximately 2.7. The tutorial then moves to x = 0, where the slope is found to be approximately -2. Finally, at x = 1.8, the tangent line is horizontal, indicating a slope of zero. The video emphasizes understanding the change in y over the change in x and provides a step-by-step approach to using the slope formula.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate y-coordinate of the point of tangency when x = -3?

2.5

4.0

3.0

3.7

Tags

CCSS.8.EE.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following points is used to calculate the slope at x = -3?

(-4, 1)

(-2, 2)

(-3, 3.7)

(0, 3)

Tags

CCSS.8.EE.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the slope of a line generally calculated?

Change in y divided by change in x

Difference of x and y

Change in x divided by change in y

Sum of x and y

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the tangent line at x = 0?

-2

3

0

2

Tags

CCSS.8.EE.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is used along with (0, 3) to find the slope at x = 0?

(0, 2)

(1, 4)

(1, 3)

(-1, 5)

Tags

CCSS.8.EE.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-coordinate of the point of tangency at x = 1.8?

0.5

1.0

1.5

2.0

Tags

CCSS.8.EE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the tangent line at x = 1.8?

1

0

-1

2

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