Graphing Using the Intercepts

by Felix Gabathuler

| 24 QuestionsToday, you're going to explore how to graph a linear equation using the intercepts of the line. Watch the following videos and complete the following excercises to master the skill! Good luck!

1

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In your notebook, write down today's date and the title "Graphing Using Intercepts". Now, write down a definition for x-intercept and another for y-intercept. Click the appropriate box below when you completed that task.

Yes Mr. Felix, I wrote down two definitions in my notebook. I love taking notes because it helps me review when I'm studying. What a cool thing! It's like having my math teacher in my living room at night explaining things to me but it's only my notes. I'm kinda scared now.

No, I have not written down two definitions.

2

1

How would you explain what the x and y intercept are to a five year old?

3

1

What is the easiest/quickest way to finding out what the x and y intercepts of a linear equation are?

4

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Complete the following Khan Academy excercise called "Intercepts from a Graph". Click on the appropriate box below once you've received a 100%

https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-x-and-y-intercepts/e/linear-function-intercepts

Finished with a 100%

Didn't finish

Finished but didn't get 100% correct...

5

1

Complete the following Khan Academy excercise called "Intercepts from an Equation". Click on the appropriate box below once you've received a 100%

https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-x-and-y-intercepts/e/solving_for_the_x-intercept

Finished with a 100%

Didn't finish

Finished but didn't get 100% correct...

Now let's move on to determing the intercepts given a table of values. Watch the following video.

6

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What is your biggest takeaway from this video? Did you learn anything new? Do you think differently about a table of values now?

7

1

Complete the following Khan Academy excercise called "Intercepts from a Table". Click on the appropriate box below once you've received a 100%

https://www.khanacademy.org/math/algebra-home/alg-linear-eq-func/alg-x-and-y-intercepts/e/intercepts-from-table

Finished with a 100%

Didn't finish

Finished but didn't get 100% correct...

8

1

Write a short story that is being modeled by the graph above.

9

1

Use the context of your story to describe what happens when the line touches the x and y axis.

10

1

You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two sizes. Small tables seat 4 people and large tables seat 6 people. Write an equation in function form to model the scenario above. For reference, label small tables as x and large tables as y.

11

1

Graph the equation you came up with on the coordinate plane below.

12

1

Choose all the possible combinations of small and large tables that would accomodate 180 people.

(0,30)

(10, 20)

(45,0)

(30,10)

(24,14)

(36,6)

13

1

You make and sell decorative bows. You sell small bows for $3 and large bows for $5. You want to earn $60 per week. Write an equation to model the situation. Let x represent the number of small bows and y represent the number of large bows.

14

1

Graph the equation you came up with on the coordinate plane below.

15

1

Choose all the possible combinations of small and large bows that would earn you $60 per week.

(12,0)

(5,10)

(2,11)

(10,8)

(15,6)

(20,0)

(2,25)

16

1

You borrow $1800 from your parents. To repay your debt, you give them $150 per month. Your debt d (in dollars) is given by the function d = 150t – 1800 where t represents time (in months). What are the x and y intercepts of the graph?

17

1

Graph the above situation on the coordinate plane below.

18

1

Explain what the intercepts mean in this situation:

19

1

After how many months will you be debt free?

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13

20

1

Write an equation in function form that models the graph above.

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D

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A

B

C

D

23

1

A

B

C

D

24

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A

B

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D

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