document.write( "Question 252918: I need to find the equation of this line. The answer should be written in slope intercept form. Please show all steps. \r
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document.write( "The line is perpendicular to x -5y = 4 and passes through
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document.write( "the point (-1, 1) \n" );
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Algebra.Com's Answer #185047 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! The line is perpendicular to x -5y = 4 and passes through \n" ); document.write( "the point (-1, 1)\r \n" ); document.write( "\n" ); document.write( "The slope-intercept form of the required line is:\r \n" ); document.write( "\n" ); document.write( "y = m*x +b \r \n" ); document.write( "\n" ); document.write( "The slope-intercept form of the given perpendicular line is:\r \n" ); document.write( "\n" ); document.write( "y = (1/5)*x - 4/5\r \n" ); document.write( "\n" ); document.write( "The slope of this line is 1/5. The line perpenciculor to this would have a slope that was the negative reciprocal of 1/5 or -5\r \n" ); document.write( "\n" ); document.write( "So the slope of the required line is -5 and we have:\r \n" ); document.write( "\n" ); document.write( "y = -5*x + b\r \n" ); document.write( "\n" ); document.write( "Since this line passes through the point (-1,1) we know that:\r \n" ); document.write( "\n" ); document.write( "1 = -5*-1 + b\r \n" ); document.write( "\n" ); document.write( "b = -4\r \n" ); document.write( "\n" ); document.write( "The equation of the second line is then:\r \n" ); document.write( "\n" ); document.write( "y = -5*x -4 \n" ); document.write( " |