document.write( "Question 1134499: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-6,4) and is parallel to the line x-3y=6 \n" ); document.write( "
Algebra.Com's Answer #751898 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution by @mathsolverplus is fatally WRONG.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution by @MathLover1 is fatally WRONG, too.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I came to provide a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Each line parallel to the line x - 3y = 6 has THE SAME left side \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x - 3y = c, (1)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where \"c\" is the constant term.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To determine the constant value of \"c\", use the condition that the point (-6,4) belongs to the line (1).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For it, substitute the coordinates x= -6, y= 4 into equation (1) and calculate \"c\". You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " -6 - 3*4 = c = -6 - 12 = -18.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus your final equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x - 3y = -18. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, completed and answered.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For this and many other similar problems see the 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( "\n" ); document.write( " - OVERVIEW of lessons related to the slope of a straight line \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |