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 #751894 by mathsolverplus(88)![]() ![]() You can put this solution on YOUR website! Let's first find the slope of x-3y=6:\r \n" ); document.write( "\n" ); document.write( "-3y=-x+6 \n" ); document.write( "y=(1/3)x-2\r \n" ); document.write( "\n" ); document.write( "Slope = 1/3\r \n" ); document.write( "\n" ); document.write( "Parallel means that our line is going to have a slope that is negative reciprocal to (1/3), which becomes -3\r \n" ); document.write( "\n" ); document.write( "y=-3x+b substitute (-6,4) into this equation to find b \n" ); document.write( "4 = 18 +b \n" ); document.write( "b = -14\r \n" ); document.write( "\n" ); document.write( "y=-3x-14\r \n" ); document.write( "\n" ); document.write( "Convert this equation into standard form, \n" ); document.write( "3x+y=-14\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Want more additional instant FREE math help? Please check out and follow us on social media!!\r \n" ); document.write( "\n" ); document.write( "Instagram (@mathsolver.plus) : https://www.instagram.com/mathsolver.plus/ \r \n" ); document.write( "\n" ); document.write( "Twitter (@MathSolverPlus): https://twitter.com/MathSolverPlus\r \n" ); document.write( "\n" ); document.write( "Snapchat (@mathsolverplus)\r \n" ); document.write( "\n" ); document.write( "Email: mathsolverplus@gmail.com \n" ); document.write( " |