document.write( "Question 911751: Find a point M on the line y= -2x + 3 such that the slope of the line through (2,3) and M is equal to 2 \n" ); document.write( "
Algebra.Com's Answer #553320 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! All points on y = -2x+3 are of the form (x,y) = (x, -2x+3)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x1,y1) = (2,3) \n" ); document.write( "(x2,y2) = (x, -2x+3)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Slope formula\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = (y2 - y1)/(x2 - x1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 = (-2x+3 - 3)/(x - 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 = (-2x)/(x - 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(x - 2) = -2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x - 4 = -2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 = -2x - 2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 = -4x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4x = -4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (-4)/(-4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -2x+3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -2(1)+3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -2+3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the point M is (1,1) \n" ); document.write( " |