3 Convert Slope-Intercept to Standard Objective: To convert a linear Equation from slope-intercept form to standard form.Standard 6.0
4 Standard Form Ax + By = C Rules: A is positive A,B,C are whole #s No fractions/decimals
5 Example 1 y = 2x + 4 -2x -2x -2x + y = 4 -1 -1 -1 2x – y = -4 Convert the equation to standard form:y = 2x + 4-2x -2x-2x + y = 42x – y = -4*To make A positive, divide (or multiply) everything by -1
6 TOO y = 4x + 6 y = -3x + 4 Convert the equation to standard form: Answers:4x – y = -63x + y = 4
7 Example 2 y = -4x + 2 5 +4/5x +4/5x 4x + y = 2 4x + 5y = 10 Convert the equation to standard form:y = -4x + 25+4/5x +4/5x4x + y = 24x + 5y = 10(5)(5)(5)*To get rid of the fraction, multiply everything by the denominator.
8 Example 3 m = 3/2 b = 12 Write an equation in standard form: y = 3x + 122-3/2x -3/2x-3x + y = 12-3x + 2y = 243x – 2y = -24Plug into y = mx + b(2)(2)(2)*To get rid of the fraction, multiply everything by the denominator.
9 TOO y = 1/2x – 3 y = -1/2x + 5/3 m = 3/2 b = 12 Convert the equation to standard form:y = 1/2x – 3y = -1/2x + 5/3m = 3/2 b = 12Answers:x – 2y = 63x + 6y = 103x – 2y = -24
10 Homework Equations in Two Variables (Part 2) Write an equation in standard form
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