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**Practice converting linear equations into Slope-Intercept Form**

It’s easier than you think…

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Focus 7 - Learning Goal #1: The student will understand the connections between proportional relationships, lines, and linear equations and use functions to model relationships between quantities. 4 3 2 1 In addition to level 3.0 and beyond what was taught in class, the student may: Make connection with other concepts in math. Make connection with other content areas. The student will demonstrate and explain the connections between proportional relationships, lines, and linear equations and use functions to model relationships between quantities. The student will demonstrate and identify proportional relationships, lines, and linear equations and use functions to model quantities. With help from the teacher, the student has partial success with level 2 and 3 elements. Even with help, students have no success with level 2 and 3 content.

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**y = mx + b Slope intercept form is:**

Our main goal is to get the y alone on one side of the equation

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**Convert Into Slope-Intercept Form**

(divide both sides by 2 to get y alone) (now simplify all fractions) 2 1

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**When an equation is in slope-intercept form:**

y = mx + b slope Intercept Now look at the equation below…… 2 What is the slope? ____________ (0, 1) What is the intercept? ____________

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**y = 2x + 1 Now look at the graph of the line.**

Step 1: Look at the y-intercept and plot where the graphs cross the “y” axis. Step 2: Use the slope (rise/run) to determine the next point and plot. Step 3: Draw a line through both points. Be sure to extend pass point and put arrow at both ends.

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***** Easy *** 5y = 10x + 15 y = 2x + 3 BRAVO!!**

Convert to Slope-Intercept Form: 5y = 10x + 15 (divide both sides by 5 to get y alone) (now simplify all fractions) y = 2x + 3 BRAVO!!

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***** Now Try this Convert to Slope-Intercept Form *****

-3y = -9x - 12 Step 1: divide both sides by -3 to get y alone Step 2: Simplify all fractions Step 3: Write your equation in y = mx + b What is the slope? ____________ What is the intercept? ____________

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***** Check Your Answer *****

-3y = -9x - 12 (divide both sides by -3 to get y alone) (now simplify all fractions) -3y = -9x - 12 y = 3x + 4 Wow, you’re good at this!! Slope = 3 Intercept = 4

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***** medium *** 21x – 7y =14 -7y = -21x + 14 y = 3x – 2**

Convert to Slope-Intercept Form: 21x – 7y =14 (subtract both sides by 21x) (now divide both sides by -7) -7y = -21x + 14 (simplify all fractions) y = 3x – 2

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***** Now Try this Convert to Slope-Intercept Form *****

2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions What is the slope? ____________ What is the intercept? ____________

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***** Check Your Answer *****

2y + 26 = -6x (subtract both sides by 26) (now divide both sides by 2 2y = -6x - 26 (simplify all fractions) y = -3x - 13 You are a math wizard!

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**Graphing from the slope-intercept form**

Graph y = ½ x + 2 Locate the y-intercept on the graph and plot the point.

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**Plotting the second point using the slope ½**

Move up 1 and right 2 and plot the second point.

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Plotting the slope

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**Drawing the line Now use a straight edge and connect the two points.**

You can check your work, by choosing any point located on the line and substituting the point into the equation. The equation will be true no matter what point you chose.

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