document.write( "Question 180522: Hello.\r
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document.write( "Can I have help in finding the equation of the line passing through (1,1) and (4,6) and putting answer in slope-intercept form.\r
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document.write( "thanks\r
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document.write( "Haley \n" );
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Algebra.Com's Answer #135269 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Can I have help in finding the equation of the line passing through (1,1) and (4,6) and putting answer in slope-intercept form. \n" ); document.write( "---------------- \n" ); document.write( "I'll do it 2 different ways, you can pick the one you like. \n" ); document.write( "1st method: \n" ); document.write( "Find the slope, m \n" ); document.write( "m = (diff in y)/(diff in x) \n" ); document.write( "m = (6-1)/(4-1) \n" ); document.write( "m = 5/3 \n" ); document.write( "Then use either point: \n" ); document.write( "y-y1 = m*(x-x1) where (x1,y1) is the point \n" ); document.write( "y-1 = (5/3)*(x-1) \n" ); document.write( "y-1 = (5/3)x - 5/3 \n" ); document.write( "y = (5/3)x - 2/3 \n" ); document.write( "---------------- \n" ); document.write( "2nd method: \n" ); document.write( "|x y 1| \n" ); document.write( "|1 1 1| = 0 \n" ); document.write( "|4 6 1| \n" ); document.write( "x*(1-6) - y*(1-4) + 6-4 = 0 \n" ); document.write( "-5x + 3y + 2 = 0 \n" ); document.write( "3y = 5x - 2 \n" ); document.write( "y = (5/3)x - 2/3\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |