Linear Relationships

Lesson 9

Objective

Write equations into slope-intercept form in order to graph. Graph vertical and horizontal lines.

Common Core Standards

Core Standards

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  • 8.EE.B.6 — Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Foundational Standards

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  • 8.EE.C.7

Criteria for Success

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  1. Distinguish between standard form and slope-intercept form. 
  2. Rewrite an equation into slope-intercept form by solving for $$y$$.
  3. Graph a linear equation using the slope and $$y$$-intercept. 
  4. Understand that the equation $$y=a$$, where a is a constant, is a horizontal line with a zero slope, and the equation $${x=a}$$ is a vertical line with undefined slope. 

Tips for Teachers

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Lesson 9 is a continuation of Lesson 8 but presents equations in standard form that are then written into slope-intercept form as a strategy to graph. 

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Anchor Problems

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Problem 1

Given the equation $${2x+3y=9}$$, determine the slope and $$y$$-intercept, and then graph the line that represents the equation. 

Guiding Questions

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Problem 2

Write the equation below into slope-intercept form and then graph the line that represents the equation. 
 

$${-4x-2y=-5}$$

Guiding Questions

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Problem 3

Match each equation to a graph. Be prepared to explain your reasoning. 

Equation A: $${ y=5}$$
Equation B: $${x=5}$$

          

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Problem Set

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Target Task

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Identify the slope and $$y$$-intercept of the equation $$12x-8y=24$$.
Then graph the line that represents the equation. 

Mastery Response

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