document.write( "Question 1128211: Which is an equation of the line that is parallel to 7x+2y=6 and passes through the point(2,3)? \n" ); document.write( "
Algebra.Com's Answer #744694 by ikleyn(52795)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Any line parallel to the given line has the form\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 7x + 2y = c,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where \"c\" is some constant. For your case, you determine the value of the constant term \"c\" from the condition,\r\n" ); document.write( "\r\n" ); document.write( "that the point (2,3) belongs to this line.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For it, substitute the coordinates of the given point x= 2 and y= 3 into the equation (1). You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " c = 7*2 + 2*3 = 14 + 6 = 20.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, your equation is \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 7x + 2y = 20.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Completed and solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To wider your horizon, look into my lessons\r \n" ); document.write( "\n" ); document.write( " - Find the slope of a straight line in a coordinate plane passing through two given points\r \n" ); document.write( "\n" ); document.write( " - Equation for a straight line having a given slope and passing through a given point\r \n" ); document.write( "\n" ); document.write( " - Solving problems related to the slope of a straight line\r \n" ); document.write( "\n" ); document.write( " - Equation for a straight line in a coordinate plane passing through two given points\r \n" ); document.write( "\n" ); document.write( " - Equation for a straight line parallel to a given line and passing through a given point\r \n" ); document.write( "\n" ); document.write( " - Equation for a straight line perpendicular to a given line and passing through a given point \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |