Unit 6, Lesson 9

Equations of Lines

Geometry

Practice

Problem 1

Student Task Statement

Select all the equations that represent the graph shown.

<p>graph of line with points 0 comma -4, 2 comma 0 and 4 comma 3 plotted on line.</p>

Practice

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Problem 2

Student Task Statement

A line with slope passes through the point .

Explain why is on this line.
Explain why is not on this line.
Is the point on this line? Explain why or why not.

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Problem 3

Student Task Statement

Write an equation of the line that passes through and has a slope of .

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Problem 4

ForLesson 8: Equations and Graphs

Student Task Statement

A parabola has focus and directrix . The point is on the parabola. How far is this point from the focus?

6 units
8 units
10 units
cannot be determined

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Problem 5

ForLesson 8: Equations and Graphs

Student Task Statement

Write an equation for a parabola with each given focus and directrix.

focus: ; directrix: -axis
focus: ; directrix: the line
focus: ; directrix: -axis
focus: ; directrix: the line

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Problem 6

ForLesson 7: Distances and Parabolas

Student Task Statement

A parabola has focus and directrix . Determine whether each point on the list is on this parabola. Explain your reasoning.

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Problem 7

ForLesson 6: Completing the Square

Student Task Statement

Select the center of the circle represented by the equation .

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Problem 8

ForLesson 1: Rigid Transformations in a Plane

Student Task Statement

Reflect triangle over the line .

Translate the image by the directed line segment from to .

What are the coordinates of the vertices in the final image?

<p>triangle ABC graphed. A = -5 comma 2, B = -6 comma -1, C = -3 comma 0.</p>

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Equations of Lines

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Problem 8

Student Task Statement

Lesson 9 Resources