Changing from Standard Form to Slope-Int Form
 The slope-intercept form The slope-intercept formy = mx + b The slope-intercept formy = mx + balways has y... The slope-intercept formy = mx + balways has y......absolutely... The slope-intercept formy = mx + balways has y......absolutely......totally... The slope-intercept formy = mx + balways has y......absolutely......totally......all by itself. The slope-intercept formy by itselfy = mx + balways has y......absolutely......totally......all by itself. The standard form The standard formAx + By = C The standard formAx + By = Calways has... The standard formAx + By = Calways has...x and y on one side, x and y on one sideThe standard formAx + By = Calways has...x and y on one side, The standard formAx + By = Cand everything else on the other sidealways has...x and y on one side, The standard formAx + By = Cand everything else on the other sidealways has...x and y on one side,everything else 2x + 3y = 4Standard?Match the equation with its form.Slope-intercept?y = 2x + 5 an equationTo change any equationx + y = 5 To change any equationx + y = 5into slope intercept form To change any equationx + y = 5into slope intercept formy = mx + b To change any equationx + y = 5into slope intercept formy = mx + byou have to get y by itself This y needs to be aloneTo change any equationx + y = 5into slope intercept formy = mx + byou have to get y by itself To do this we use Algebra To do this we use Algebrax + y = 5 To do this we use Algebrax + y = 5we need to get y by itself so we need to get rid of the xTo do this we use Algebrax + y = 5we need to get y by itself To do this we use Algebra-xx + y = 5-xsubtract x on both sides To do this we use Algebra-xx + y = 5-xsubtract x on both sidesto get rid of the x To do this we use Algebrax - xcancels-xx + y = 5-xsubtract x on both sidesto get rid of the x To do this we use Algebrax - xcancelsLeaving just y on that side-xx + y = 5y =-xsubtract x on both sidesto get rid of the x To do this we use Algebraare not like termssince 5 and -x-xx + y = 5y =-xsubtract x on both sidesto get rid of the x we can't add themTo do this we use Algebraare not like termssince 5 and -x-xx + y = 5y =-xsubtract x on both sidesto get rid of the x we can't add themTo do this we use Algebraare not like termssince 5 and -x-xx + y = 5y = -x + 5-xleaving us with thissubtract x on both sidesto get rid of the x To do this we use AlgebraThe y is by itself now-xx + y = 5y = -x + 5-x To do this we use Algebraso this equation is in slope-intercept formThe y is by itself now-xx + y = 5y = -x + 5-x standard equationWe changed thisx + y = 5y = -x + 5 standard equationWe changed thisx + y = 5y = -x + 5slope-intercept equationinto this Match the equation with its form6x - 2y = 12Standard?Slope-intercept?y = 4x Match the equation with its formSlope-intercept?y = 3x + 1-4x - y = 4Standard? Match the equation with its formx + y = 5Standard?Slope-intercept?y = x + 5 Match the equation with its formSlope-intercept?y = -2x - 4x - 5y = 9Standard? Which equation is equivalent to 4x - 3y = 9?y = -4x + 9y = 4/3x - 3y = -4/3x - 3y = -3/4x - 3 Which equation is equivalent to x + 3y = -6?y = -1/3x - 2y = -3x - 3y = -3x - 2y = -x - 6 Which equation is equivalent to 2x - y = 8?y = -x + 4y = -2x + 8y = 2x + 4y = 2x - 8 Which equation is equivalent to y = 3x - 1?6x - 2y = 2 3x + y = 1-3x - y = 16x + 2y = 2 In changing from standard formto slope-intercept form, what should be yourfirst step?Find slopeDivide by the y-coefficientAdd or Subtract the "Ax" termDivide each side by the "Ax" term
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