document.write( "Question 520420: how do you find the slope-intercept form of an equation?
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document.write( "please help! time is of the essnce! thank you so much.
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document.write( " morgan
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Algebra.Com's Answer #346070 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The slope-intercept form of an equation is: \n" ); document.write( "y = mx + b \n" ); document.write( ". \n" ); document.write( "where \n" ); document.write( "m = slope = change in y / change in x \n" ); document.write( "b = y-intercept, which occurs where x=0, so the ordered pair is (0,b) \n" ); document.write( ". \n" ); document.write( "Consider the following: \n" ); document.write( "2x + 3y = 5 \n" ); document.write( "subtract 2x from both sides \n" ); document.write( "3y = -2x +5 \n" ); document.write( "divide both sides by 3 \n" ); document.write( "y = -(2/3)x + 5/3 \n" ); document.write( ". \n" ); document.write( "m = slope = -2/3 \n" ); document.write( ". \n" ); document.write( "y-intercept = (0, 5/3) \n" ); document.write( ". \n" ); document.write( "x-intercept occurs where y=0, so simply substitute 0 for y and solve for x. \n" ); document.write( "0 = -(2/3)x + 5/3 \n" ); document.write( "add (2/3)x to both sides \n" ); document.write( "(2/3)x = 5/3 \n" ); document.write( "multiply both sides by 3 to eliminate fraction \n" ); document.write( "2x = 5 \n" ); document.write( "divide both sides by 2 \n" ); document.write( "x = 5/2 \n" ); document.write( "so the x-intercept is (5/2,0) \n" ); document.write( ". \n" ); document.write( "A graph is often helpful. \n" ); document.write( ". \n" ); document.write( " |