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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |