document.write( "Question 117249: There exists an equation to the line: y=-5/4x+7 that goes through the x-intercept of the line: -3x-17y=9. What is the equation in slope-intercept form?
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Algebra.Com's Answer #86179 by misscrt(37)![]() ![]() ![]() You can put this solution on YOUR website! There exists an equation to the line: y=-5/4x+7 that goes through the x-intercept of the line: -3x-17y=9. What is the equation in slope-intercept form? \n" ); document.write( "____________________________________________________________________________\r \n" ); document.write( "\n" ); document.write( "Find the x intercept of the equation -3x-17y=9\r \n" ); document.write( "\n" ); document.write( "To find x intercept let y equal 0 and solve for x.\r \n" ); document.write( "\n" ); document.write( "-3x-17(0)=9\r \n" ); document.write( "\n" ); document.write( "-3x -0=9\r \n" ); document.write( "\n" ); document.write( "-3x =9\r \n" ); document.write( "\n" ); document.write( "Divide both sides by -3 to find x.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=-3 \n" ); document.write( "(-3,0) is the x intercept.\r \n" ); document.write( "\n" ); document.write( "Given the first equation of a line, find its slope.\r \n" ); document.write( "\n" ); document.write( "y=-5/4x+7\r \n" ); document.write( "\n" ); document.write( "y=mx+b\r \n" ); document.write( "\n" ); document.write( "so, m=-5/4\r \n" ); document.write( "\n" ); document.write( "Now, use point slope form to write the equation for the line with slope of -5/4, passing through (-3,0)---->(x1,y1).\r \n" ); document.write( "\n" ); document.write( "(y-y1) =m(x-x1)\r \n" ); document.write( "\n" ); document.write( "y-0 = -5/4(x-(-3))\r \n" ); document.write( "\n" ); document.write( "y=-5/4(x+3)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope that helps.\r \n" ); document.write( "\n" ); document.write( "Regards, \n" ); document.write( "misscrt \n" ); document.write( " |