document.write( "Question 522498: Write the slope-intercept form of the equation that is perpendicular to the line 6x-4y=8 and passes through the point (1, 4). \n" ); document.write( "

Algebra.Com's Answer #346887 by mananth(16946) $\"\"$ $\"About$

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6 x -4 y = 8
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "-4y=-6x + 8
\n" ); document.write( "Divide by -4
\n" ); document.write( "y=2x-2
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = 1.50=>3/2
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal-2/3
\n" ); document.write( "m1*m2=-1
\n" ); document.write( "The slope of the required line will be - 2/3
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\n" ); document.write( "m= - 2/3 ,point ( 1 , 4 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "4 = -2/3 + b
\n" ); document.write( "b= 14/3
\n" ); document.write( "m= - 2/3
\n" ); document.write( "The required equation is y = - 2/ 3 x+ 14/ 3
\n" ); document.write( "m.ananth@hotmail.ca
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