document.write( "Question 389496: Write linear equations in slope intercept or standard form given the following information. (-4,1) m=-13/6 \n" ); document.write( "
Algebra.Com's Answer #276044 by haileytucki(390) You can put this solution on YOUR website! (-4,1),m=-(13)/(6)\r \n" ); document.write( "\n" ); document.write( "Find the value of b using the formula for the equation of a line. \n" ); document.write( "y=mx+b\r \n" ); document.write( "\n" ); document.write( "Substitute the value of m into the equation. \n" ); document.write( "y=(-(13)/(6))*x+b\r \n" ); document.write( "\n" ); document.write( "Substitute the value of x into the equation. \n" ); document.write( "y=(-(13)/(6))*(-4)+b\r \n" ); document.write( "\n" ); document.write( "Substitute the value of y into the equation. \n" ); document.write( "(1)=(-(13)/(6))*(-4)+b\r \n" ); document.write( "\n" ); document.write( "Since b is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \n" ); document.write( "(-(13)/(6))*(-4)+b=(1)\r \n" ); document.write( "\n" ); document.write( "Multiply (-(13)/(6)) by (-4) to get (-(13)/(6))(-4). \n" ); document.write( "(-(13)/(6))(-4)+b=(1)\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 1. \n" ); document.write( "(-(13)/(6))(-4)+b=1\r \n" ); document.write( "\n" ); document.write( "Multiply -(13)/(6) by -4 to get (26)/(3). \n" ); document.write( "((26)/(3))+b=1\r \n" ); document.write( "\n" ); document.write( "Reorder the polynomial (26)/(3)+b alphabetically from left to right, starting with the highest order term. \n" ); document.write( "b+(26)/(3)=1\r \n" ); document.write( "\n" ); document.write( "Find the value of b. \n" ); document.write( "b=-(23)/(3)\r \n" ); document.write( "\n" ); document.write( "Now that the values of m(slope) and b(y-intercept) are known, substitute them into y=mx+b to find the equation of the line. \n" ); document.write( "y=-(13x)/(6)-(23)/(3) \n" ); document.write( " |