standard and slope-intercept forms

Standard Form and Slope-Intercept

Standard and Slope-Intercept FormsStandard Form:Ax + By = CSlope-Intercept Form:y = mx + bIMPORTANT: B bYou can convert between standard and slope-intercept forms byperforming inverse operations. Inverse Operations:Multiply DivideDivide MultiplyAdd SubtractSubtract Add

REMEMBER: Properties of Equality what is done to one side of the equation must be done to the other side How do you convert from standard form to slope-intercept form?Ax + By = C y = mx + b(Solve for y)Example1: 6x + y = 12 (standard form)(1)Subtract 6x from each side -6x -6x y = -6x + 12 (slope-intercept form)m = ______ b = ______Example 2: 10x + 5y = 25 (standard form) (1)Subtract 6x from each side -10x -10x(2) Divide by 5 on each side 5y = -10x + 25 55y = -2x + 5TRY THESE: Convert from standard form to slope-intercept form1. 40x 5y = -102. -10x + 2y = 30 3. x + y = -74. 2x y = 12SOLUTIONS:1. 40x 5y = -102. -10x + 2y = 30 3. x + y = -74. 2x y = 12

1) y = 8x + 2y = 5x + 15y = -x + (-7) or y = -x 7y = 2x 12

How do you convert from slope-intercept form to standard form?y = mx + b Ax + By = CExample 1: y = 3x 5 (slope-int form)(1) Subtract 3x from each side -3x -3x -3x + y = -5 (standard form)

Example 2:y = 4 x + 12 (slope-int form)(1)Subtract 4 x from each side -4x -4x-4 x + y = 12 TRY THESE: Convert from slope-intercept form to standard form1. y = 3 x 153. y = -x 12. y = -10x 24. y = xSOLUTIONS:1. y = 3 x 153. y = -x 12. y = -10x 24. y = x

1) -3x + y = -1510x + y = -2x + y = -1-x + y = 0