document.write( "Question 550676: Write an equation of the line perpendicular to the line given by 2x +3y =7 and having the same y-intercept as the line given 5x+ 2y =10 \n" ); document.write( "
Algebra.Com's Answer #359057 by mananth(16946)\"\" \"About 
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2x +3y =7 and having the same \r
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\n" ); document.write( "\n" ); document.write( "y-intercept of line
\n" ); document.write( " 5x+ 2y =10
\n" ); document.write( "2y=-5x+10
\n" ); document.write( "y=(-5/2)x +5
\n" ); document.write( "plug x=0
\n" ); document.write( "y=5\r
\n" ); document.write( "\n" ); document.write( "y intercept (0,5)\r
\n" ); document.write( "\n" ); document.write( "2 x + 3 y = 7
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "3 y = -2 x + 7
\n" ); document.write( "Divide by 3
\n" ); document.write( " y = -0.667 x + 2.33
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = -0.67
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 1.5
\n" ); document.write( "m1*m2=-1
\n" ); document.write( "The slope of the required line will be 3/2
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\n" ); document.write( "m= 3/2 ,point ( 0 , 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 = 0.00 + b
\n" ); document.write( "b= 5
\n" ); document.write( "m= 3/2
\n" ); document.write( "The required equation isy = 3/ 2x + 5
\n" ); document.write( "m.ananth@hotmail.ca
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