document.write( "Question 697475: choose the equation of the line passing through the point (4,5) and perpendicular to y=1/4x+9 \n" ); document.write( "
Algebra.Com's Answer #430046 by mananth(16946)![]() ![]() You can put this solution on YOUR website! - 1/ 4 x + 1 y = 9 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "1 y = 1/ 4 x + 9 \n" ); document.write( " \n" ); document.write( "Compare this equation with y=mx+b,m= slope & b= y intercept \n" ); document.write( "slope m = 1/4 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -4 \n" ); document.write( "Because m1*m2 =-1 \n" ); document.write( "The slope of the required line will be -4 \n" ); document.write( " \n" ); document.write( "m= -4 ,point ( 4 , 5 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "5 = -16 + b \n" ); document.write( "b= 21 \n" ); document.write( "m= -4 \n" ); document.write( "The required equation is y = -4 x + 21 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |