document.write( "Question 1124022: write the equation of the line that satisfies the given conditions. Contains the point (-1,4) and is perpendicular to the line x-3y=3. \n" ); document.write( "
Algebra.Com's Answer #740398 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) x -3y = 3 \n" ); document.write( ": \n" ); document.write( "rewrite equation 1 in slope - intercept form \n" ); document.write( ": \n" ); document.write( "y = x/3 - 1 \n" ); document.write( ": \n" ); document.write( "the negative reciprocal of the slope, is the slope of a line perpendicular to the line in equation 1 \n" ); document.write( ": \n" ); document.write( "slope of perpendicular line is -3 \n" ); document.write( ": \n" ); document.write( "2) y = -3x +b \n" ); document.write( ": \n" ); document.write( "now use the point (-1,4) by substituting for x and y in equation 2 \n" ); document.write( ": \n" ); document.write( "4 = -3(-1) +b \n" ); document.write( ": \n" ); document.write( "b = 1 \n" ); document.write( ": \n" ); document.write( "******************************************************************** \n" ); document.write( "equation of the line with the given conditions is \n" ); document.write( ": \n" ); document.write( "y = -3x +1 (slope - intercept form) \n" ); document.write( ": \n" ); document.write( "3x +y = 1 (standard form) \n" ); document.write( "******************************************************************** \n" ); document.write( ": \n" ); document.write( " |