document.write( "Question 396179: Given two points on the line, input the equation of the line in standard form Ax + By = C. Reduce all fractional answers to lowest terms.\r
\n" ); document.write( "\n" ); document.write( "(7, -3), (4, -8)\r
\n" ); document.write( "\n" ); document.write( "I keep getting stuck on this one... The first step would be to find the slope ( y2-y1/ x2-x1) right? \n" ); document.write( "

Algebra.Com's Answer #281112 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, Yes! first find slope
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document.write( "Finding equation of the line in standard form Ax + By = C
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document.write( "Using the point-slope formula,  to find m
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document.write( "(7, -3), 
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document.write( "(4, -8)   m = -3-(-8) / 7-4 = 5/3
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document.write( "Using the standard slope-intercept form for an equation of a line y = mx + b
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document.write( "  where m is the slope and b the y-intercept.  
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document.write( " y = (5/3)x + b |using ordered pair Pt(7,-3) to solve for b
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document.write( " -3 = (5/3)*7 + b
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document.write( " - 3 - 35/3 = b
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document.write( " -44/3 = b
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document.write( " y = (5/3)x -44/3   |multiplying each term by 3
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document.write( " 3y = 5x -44 
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document.write( "  5x - 3y = 44, equation of the line in standard form \n" );
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