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9-12 Integrated Math 1 Unit 5 Lesson 7

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K-5 Math 6-8 Math •9-12 Math

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•Integrated Math 1 Integrated Math 2 Integrated Math 3

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Unit 1 Unit 2 Unit 3 Unit 4 •Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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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

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Unit 5, Lesson 7

It’s All on the Line

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Integrated Math 1

Practice

Problem 1

For each equation, is the graph of the equation parallel to the line shown, perpendicular to the line shown, or neither?

<p>graph on line L, y intercept of 1 and slope of 1 over 5</p>

\(y=0.2x\)
\(y=\text- 2x+1\)
\(y=5x-3\)
\((y-3)=\text- 5(x-4)\)
\((y-1)=2(x-3)\)
\(5x+y=3\)

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Problem 2

Main Street is parallel to Park Street. Park Street is parallel to Elm Street. Elm is perpendicular to Willow. How does Willow compare to Main?

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Problem 3

The line which is the graph of \(y=2x-4\) is transformed by the rule \((x,y)\rightarrow (\text-x,\text-y)\). What is the slope of the image?

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Problem 4

ForLesson 6: Perpendicular Lines in the Plane

Select all equations whose graphs are lines perpendicular to the graph of \(3x+2y=6\).

\(3x-2y=4\)
\(2x+3y=6\)
\(2x-3y=8\)
\((y-4)=\frac23(x-6)\)
\((y-2)=\text-\frac{3}{2}(x-8)\)
\(y=\frac23x\)
\(y=\frac32x+3\)

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Problem 5

ForLesson 6: Perpendicular Lines in the Plane

Match each line with a perpendicular line.

the line through \((12, 4)\) and \((9, 19)\)
\(2x-5y=10\)
\(y-4=\frac23(x+1)\)

the line through \((3, 1)\) and \((1, 4)\)
\(y=\frac15 x+7\)
\(y-1=\text-2.5(x+3)\)

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Problem 6

ForLesson 5: Parallel Lines in the Plane

The graph of \(y = \text{-} 4x + 2\) is translated by the directed line segment \(AB\) shown. What is the slope of the image?

<p>graph of y = -4x + 2</p>

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Problem 7

ForLesson 4: Equations of Lines

Select all points on the line with a slope of \(\text-\frac{1}2\) that go through the point \((4,\text-1)\).

\((\text-2, 2)\)
\((0,2)\)
\((4, \text-1)\)
\((0, 1)\)
\((\text-3, 8)\)

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Lesson 7 Resources

Student Materials Student Materials in Spanish