document.write( "Question 2689: Question: Find the equation of the line that passes through points (7,-2) and (5,1)
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document.write( "Write the equation of the line in slope-intercept form.
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document.write( "I know the the slope intercept for is y = mx +b
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Algebra.Com's Answer #1245 by xcentaur(357)![]() ![]() ![]() You can put this solution on YOUR website! Let the points be P(7,-2) and Q(5,1). \n" ); document.write( " \n" ); document.write( "Slope of a line (m) = \n" ); document.write( "= (difference of ordinates)/(difference of abcissae) \n" ); document.write( "= (y2-y1)/(x2-x1) \n" ); document.write( "= (1-(-2))/(5-7) \n" ); document.write( "= (1+2)/(2) \n" ); document.write( "= (3/2) \n" ); document.write( " \n" ); document.write( "Now m=3/2 \n" ); document.write( " \n" ); document.write( "Taking form of: \n" ); document.write( "y-y1=m(x-x1) \n" ); document.write( " \n" ); document.write( "y-(-2)=3/2(x-7) \n" ); document.write( "y+2=3/2(x-7) \n" ); document.write( "2y+4=3(x-7) \n" ); document.write( "2y+4=3x-21 \n" ); document.write( "2y-3x=-21-4 \n" ); document.write( "2y-3x=-25 \n" ); document.write( " \n" ); document.write( "Converting to standard form of slope-intercept we get, \n" ); document.write( "2y=3x-25\r \n" ); document.write( "\n" ); document.write( "Here,slope(m)=(3/2) \n" ); document.write( " yintercept=(-25/2) \n" ); document.write( "
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