Practice converting linear equations into Slope-Intercept Form

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Presentation transcript:

Practice converting linear equations into Slope-Intercept Form

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

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

*** 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!!

*** 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? ____________

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

*** 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

*** 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? ____________

*** 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!

Can’t add or sub these. Why? Write these equations in slope-intercept form. Can’t add or sub these. Why? They are not Like Terms 1. We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y)

Can’t add or sub these. Why? Put in Slope-Intercept Form - Solve for “y” Can’t add or sub these. Why? They are not Like Terms 2. We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y)

Put in Slope-Intercept Form - Solve for “y” We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y) 3.

Put in Slope-Intercept Form - Solve for “y” We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y) Nothing to move!! So turn it around! 4. 5.

Put in Slope-Intercept Form - Solve for “y” We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Nothing to move so Move the term in front of y (divide by the number in front of the y) 6. 7.