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Mastering Slope-Intercept Form: A Guide to Converting Linear Equations

Learn how to convert linear equations into slope-intercept form (y = mx + b) effortlessly! This guide walks you through the process step-by-step, ensuring you can isolate y and identify the slope and intercept with ease. Practice with examples such as transforming 5y = 10x + 15 into y = 2x + 3 and more complex equations. With tips on graphing your lines based on slope and y-intercept, you’ll become a pro at recognizing these key components in no time. Unlock your math potential today!

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Mastering Slope-Intercept Form: A Guide to Converting Linear Equations

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  1. Practice converting linear equations into Slope-Intercept Form It’s easier than you think…

  2. Slope intercept form is: y = mx + b Our main goal is to get the y alone on one side of the equation

  3. Convert Into Slope-Intercept Form (divide both sides by 2 to get y alone) (now simplify all fractions) 2 1

  4. Intercept slope Now look at the equation below…… When an equation is in slope-intercept form: y = mx + b 2 What is the slope? ____________ 1 What is the intercept? ____________

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

  6. *** Easy *** 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!!

  7. *** 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? ____________

  8. -3-3 -3y = -9x - 12 -3-3 -3 *** Check Your Answer *** -3y = -9x - 12 (divide both sides by -3 to get y alone) (now simplify all fractions) y = 3x + 4 Wow, you’re good at this!! Slope = 3 Intercept = 4

  9. *** medium *** 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

  10. *** 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? ____________

  11. *** 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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