document.write( "Question 509945: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3) \n" ); document.write( "
Algebra.Com's Answer #341673 by Maths68(1474)\"\" \"About 
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Points (2,5) and (7,-3)
\n" ); document.write( "Use point-slope Equation
\n" ); document.write( "m=(y2-y1)/(x2-x1)
\n" ); document.write( "m=(-3-5)/(7-2)
\n" ); document.write( "m=-8/5\r
\n" ); document.write( "\n" ); document.write( "Equation of the line Slope-intercept form
\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "Put the value of any one point and slope we have found
\n" ); document.write( "m=-8/5, (2,5)\r
\n" ); document.write( "\n" ); document.write( "5=-8/5(2)+b
\n" ); document.write( "5=-16/5+b
\n" ); document.write( "5+16/5=b
\n" ); document.write( "(25+16)/5=b
\n" ); document.write( "41/5=b\r
\n" ); document.write( "\n" ); document.write( "Now
\n" ); document.write( "m=-8/5, (7,-3)
\n" ); document.write( "-3=-8/5(7)+b
\n" ); document.write( "-3=-56/5+b
\n" ); document.write( "56/5-3=b
\n" ); document.write( "(56-15)/5=b
\n" ); document.write( "41/5=b\r
\n" ); document.write( "\n" ); document.write( "So b=41/5\r
\n" ); document.write( "\n" ); document.write( "Now again put the value of b and m in Equation of the Slope-intercept Form
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(-8/5)x+41/5 or y=(-8x+41)/5
\n" ); document.write( "Above equation is our required Equation of the Straight line Slope-inercept form
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