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1 Which of the following is not necessary when writing a linear equation in Slope-Intercept Form? The equation must be written in French. The y term is always listed by itself on the left side of the equation. Must be in y=mx + b form. (b is a real integer and m is the slope) The y term must never have an integer before it. The y term must always be positive. 2 Which of these choices would be a good first step to convert this to a Slope-Intercept Form Equation: -4 + y + 2x = 0 Add 2x to both sides of the equation Divide all units by 2 Multiply all units by -4 Add 4 to both sides of the equation Add y to both sides of the equation 2 What is the next necessary step to convert this to a Slope-Intercept Form Equation: -4 + y + 2x = 0 → y + 2x = 4 Subtract y from both sides The equation is now in Slope-Intercept form The x term needs to be written first Divide all terms by 2 Subtract 2x from both sides 2 What is the next step to convert this to a Slope-Intercept Form Equation: y + 2x = 4 → y = -2x + 4 Subtract y from both sides Subtract 2x from both sides Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1 The equation is in Slope-Intercept Form Divide all terms by 2 3 What is the first step to convert this to a Slope-Intercept Form Equation: 3y = 2 - x Subtract 3y from both sides Divide all terms by 2 Add x to both sides Divide all terms by 3 The equation is in Slope-Intercept Form 3 What is the next step to convert this to a Slope-Intercept Form Equation: 3y = 2 - x → y = 2/3 - (1/3)x The equation is in Slope-Intercept Form Add x to both sides Divide all terms by 3 The x term needs to be written first on the right side of the equation Subtract 3y from both sides 3 What is the next step to convert this to a Slope-Intercept Form Equation: y = 2/3 - (1/3)x → y = (1/3)x - 2/3 The x term needs to be written first Divide all terms by 3 Add x to both sides The equation is in Slope-Intercept Form Subtract 3y from both sides 4 What is the first step to convert this to a Slope-Intercept Form Equation: 7x + 3 = 8y + 4 Subtract 8 from both sides Subtract 3 from both sides Add 4 to both sides The equation is in Slope-Intercept Form Add 3 to both sides 4 What is the next step to convert this to a Slope-Intercept Form Equation: 7x + 3 = 8y + 4 → 7x = 8y + 1 Subtract 1 from both sides The equation is in Slope-Intercept Form Add 1 to both sides Divide all terms by 7 Subtract 8y from both sides 4 What is the next step to convert this to a Slope-Intercept Form Equation: 7x = 8y + 1 → 7x - 8y = 1 Subtract 7x from both sides Subtract 1 from both sides Add 1 to both sides The equation is in Slope-Intercept Form Divide all terms by 7 4 What is the next step to convert this to a Slope-Intercept Form Equation: 7x - 8y = 1 → -8y = -7x + 1 Multiply all terms times 8 Divide all terms by -8 The equation is in Slope-Intercept Form Subtract 8y from both sides Multiply all terms times 7 4 The equation is in Slope-Intercept Form What is the next step to convert this to a Slope-Intercept Form Equation: -8y = -7x + 1 → y = (7/8)x - 1/8 Subtract y from both sides Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1 The equation is in the Standard Form Add y to both sides 5 What is the first step to convert this to a Slope-Intercept Form Equation: y = (-4/5)x Subtract y from both sides Multiply all terms times 5 Divide all terms by 5 Divide all terms by 4 The equation is in Slope-Intercept Form 6 What is the first step to convert this to a Slope-Intercept Form Equation: y = (-5/9)x + 1/3 Multiply all terms by 3 Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms by -1 Subtract (1/3) from both sides The equation is in Slope-Intercept Form Multiply all terms times 9 7 Use the Distributive property to simplify both sides of the equal sign Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms by -1 Divide all terms by 10 Subtract 6y from both sides The equation is in Slope-Intercept Form What is the first step to convert this to a Slope-Intercept Form Equation: 6(y - 3) = 3(-4x + 10) 7 What is the next step to convert this to a Slope-Intercept Form Equation: 6(y-3)=3(-4x+10) → 6y-18=-12x+30 Add 18 to both sides Divide all terms by 18 The y term needs to be written first Subtract 12x from both sides Subtract 6y from both sides 7 What is the next step to convert this to a Slope-Intercept Form Equation: 6y-18=-12x+30 → 6y=-12x+48 The equation is in Slope-Intercept Form Subtract 3 from both sides Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms by -1 Divide all terms by 6 Subtract 6 from both sides 7 What is the next step to convert this to a Slope-Intercept Form Equation: 6y=-12x+48 → y=-2x+16 The equation is in Slope-Intercept Form Add 16 to both sides Add 2 to both sides Subtract 2 from both sides Subtract 16 from both sides 8 What is the first step to convert this to a Slope-Intercept Form Equation: 2(y-1) = -2(9x + 5) The equation is in Slope-Intercept Form Subtract 18x from both sides Add 2y to both sides Subtract y from both sides Use the Distributive property to simplify both sides of the equal sign 8 What is the next step to convert this to a Slope-Intercept Form Equation: 2(y-1) = -2(9x + 5) → 2y - 2=-18x-10 Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms by -1 Add 2 to both sides Subtract 18x from both sides The equation is in Slope-Intercept Form Subtract 2y from both sides 8 What is the next step to convert this to a Slope-Intercept Form Equation: 2y-2=-18x-10 → 2y=-18x-8 Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms by -1 Add 8 to both sides Divide all terms by 2 Subtract 8 to both sides The equation is in Slope-Intercept Form 8 What is the next step to convert this to a Slope-Intercept Form Equation: 2y = -18x-8 → y = -9x-4 Add 4 to both sides Add 9x to both sides The equation is in Slope-Intercept Form Subtract 4 from both sides Subtract 9x from both sides 9 What is the first step to convert this to a Slope-Intercept Form Equation: 3(y+4) = 3(x-4) Subtract 4 from both sides Subtract x from both sides Use the Distributive property to simplify both sides of the equal sign Subtract y from both sides Add 4 to both sides 9 What is the next step to convert this to a Slope-Intercept Form Equation: 3(y+4) = 3(x-4) → 3y+12 = 3x-12 Add 3y to both sides Add 12 to both sides The equation is in Slope-Intercept Form Subtract 12 from both sides Add 3x to both sides 9 What is the next step to convert this to a Slope-Intercept Form Equation: 3y+12=3x-12 → 3y=3x-48 The equation is in Slope-Intercept Form Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms by -1 Divide all terms by 3 Subtract 48 from both sides Add 48 to both sides 9 What is the next step to convert this to a Slope-Intercept Form Equation: 3y=3x-48 → y=x-18 Add 18 to both sides Subtract 18 from both sides Add y to both sides Subtract y from both sides The equation is in Slope-Intercept Form 10 b) slope= c) x-intercept a) y-intercept= Given that y=3x-1, answer the following: 11 b) slope= c) x-intercept= Given that y=-½x+1, answer the following: a) y-intercept= 12 b) slope= c) x-intercept= Given that y=2-4x, answer the following: a) y-intercept= 13 b) slope= c) x-intercept= a) y-intercept= If y= 3x+5 15 , answer the following: 14 b) slope= c) x-intercept= a) y-intercept= If y= 21-35x 7 , answer the following: 15 Given that 2x+y+4=0, answer the following: a) y-intercept= b) slope= c) x-intercept= 16 c) x-intercept= Given that 3y-4x-12=0, answer the following: b) slope= a) y-intercept= |