document.write( "Question 40995: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x-4y=9 and passing through (-2,-1) \n" ); document.write( "
Algebra.Com's Answer #26650 by zeynep(43)![]() ![]() ![]() You can put this solution on YOUR website! the formula for the slope of a line is; -(coefficient of x/coefficient of y) \n" ); document.write( "so the slope of the line, 3x-4y=9, is ; 3/4.\r \n" ); document.write( "\n" ); document.write( "the product of the slopes of two perpendicular lines is -1.\r \n" ); document.write( "\n" ); document.write( "Therefore, the slope of the new line is -1/(3/4)=-4/3\r \n" ); document.write( "\n" ); document.write( "A line going through the point (a,b) and having slope of m would have the equation; \n" ); document.write( "y-a=m(x-b)\r \n" ); document.write( "\n" ); document.write( "Therefore the equation for our new line is;\r \n" ); document.write( "\n" ); document.write( "y+1=-4/3(x+2) \n" ); document.write( "y+1=-4/3x-8/3 (if we multiply both sides by 3) \n" ); document.write( "3y+3=-4x-8 \n" ); document.write( "4x+3y+11=0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |