document.write( "Question 274972: write the equation of a line in standard form if m=-3/5 and contains (7, -11)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #200643 by dabanfield(803) ![]() You can put this solution on YOUR website! write the equation of a line in standard form if m=-3/5 and contains (7, -11)\r \n" ); document.write( "\n" ); document.write( "One standard form of a line is the slope-intercept:\r \n" ); document.write( "\n" ); document.write( "y = m*x + b\r \n" ); document.write( "\n" ); document.write( "In this form m is the slope of the line and b is the value of y when x is zero( that is the value of y where the line crosses the y-axis).\r \n" ); document.write( "\n" ); document.write( "In this case m = -3/5 so we have:\r \n" ); document.write( "\n" ); document.write( "y = (-3/5)*x + b\r \n" ); document.write( "\n" ); document.write( "Since the line passes through the point (7,-11) we know that when x = 7, \n" ); document.write( "y = -11.\r \n" ); document.write( "\n" ); document.write( "So substituting in the equation above we have:\r \n" ); document.write( "\n" ); document.write( "-11 = (-3/5)*7 + b \n" ); document.write( "-11 = -21/5 + b \n" ); document.write( "b = 21/5 - 55/5 = -34/5\r \n" ); document.write( "\n" ); document.write( "The equation of the line then is:\r \n" ); document.write( "\n" ); document.write( "y = (-3/5)*x - 34/5\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |