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6-8 Accelerated 7 Unit 5 Lesson 10

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 •Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23 Lesson 24 Lesson 25 Lesson 26 Lesson 27 Lesson 28

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 5, Lesson 10

Equations of All Kinds of Lines

Accelerated 7

Practice

Problem 1

Suppose you wanted to graph the equation \(x=\text-3\). Describe the steps you would take to draw the graph.

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Problem 2

Lesson 10 Resources

Student Materials

Draw and label a line for each given slope and \(y\)-intercept.

Line \(a\): slope is 0, \(y\)-intercept is 5
Line \(b\): slope is 2, \(y\)-intercept is -1
Line \(c\): slope is -2, \(y\)-intercept is 1
Line \(d\): slope is \(\text-\frac{1}{2}\), \(y\)-intercept is -1

Blank coordinate plane, x, negative 5 to 5 by 5, y negative 5 to 5 by 5.

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Problem 3

Write an equation for each line.

4 lines on coordinate grid colored red, blue, green, yellow.

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Problem 4

ForLesson 6: Representations of Linear Relationships

A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which have a thickness of \(\frac{1}{4}\) of an inch. They have a choice of which type of paper to print the book on.

Bond paper has a thickness of \(\frac{1}{4}\) inch per one hundred pages. Write an equation for the total thickness of the book in inches, \(y\), if it has \(x\) hundred pages, printed on bond paper.
Ledger paper has a thickness of \(\frac{2}{5}\) inch per one hundred pages. Write an equation for the total thickness of the book in inches, \(y\), if it has \(x\) hundred pages, printed on ledger paper.
If they instead chose front and back covers of thickness \(\frac{1}{3}\) of an inch, how would this change the equations in the previous two parts?

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