document.write( "Question 540347: Find the equation of a line that is parallel to 3x + 4y = 5 and containing the point (5, 0). Please show all of your work and write your answer in slope-intercept form \n" ); document.write( "

Algebra.Com's Answer #353688 by mananth(16946) $\"\"$ $\"About$

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3 x + 4 y = 5
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "4 y = -3 x + 5
\n" ); document.write( "Divide by 4
\n" ); document.write( " y = - 3/4 x + 1.25
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = - 3/4
\n" ); document.write( "The slope of a line parallel to the above line will be the same
\n" ); document.write( "The slope of the required line will be - 3/4
\n" ); document.write( "m= - 3/4 ,point ( 5 , 0 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "0 = -15/ 4 + b
\n" ); document.write( "b= 15/4
\n" ); document.write( "m= - 3/4
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is y = - 3/4 x + 15/ 4
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\n" ); document.write( "m.ananth@hotmail.ca
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