document.write( "Question 801277: ( 7 ,1 ) and is perpendicular to the line 5 x + 2 y = 5 can be written in the form y = mx+b where m is -3.5 solve for b \n" ); document.write( "
Algebra.Com's Answer #483490 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
This question seems to be a mixture of wording from two different problems. I cannot have much faith on my guess about what the problem was supposed to be, but I hope my answer helps anyway.\r
\n" ); document.write( "\n" ); document.write( "\"5+x+%2B+2+y+=+5\" can be written in the form \"y+=+mx%2Bb\" as \"y=-2.5x%2B2.5\".
\n" ); document.write( "That can be found by solving for \"y\":
\n" ); document.write( "\"5x%2B2y=5\" --> \"2y=5-5x\" --> \"0.5%282y%29=0.5%285-5x%29\" --> \"y=2.5-2.5x\"
\n" ); document.write( "When the equation of a line is in such a form, the coefficient of \"x\" is the slope of the line.
\n" ); document.write( "So the slope of \"5+x+%2B+2+y+=+5\" is \"-2.5\".
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\n" ); document.write( "A line perpendicular to \"5+x+%2B+2+y+=+5\" must have a slope of
\n" ); document.write( "\"m=%28-1%29%2F%28-2.5%29\" --> \"m=0.4\"
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\n" ); document.write( "All lines perpendicular to \"5+x+%2B+2+y+=+5\" will have as an equation in the form \"y+=+mx%2Bb\"
\n" ); document.write( "an equation represented by \"y=0.4x%2Bb\".
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\n" ); document.write( "The one an only one of those lines perpendicular to \"5+x+%2B+2+y+=+5\" that passes through point (7,1) will have \"system+%28x=7%2Cy=1%29\" as a solution to
\n" ); document.write( "\"y=0.4x%2Bb\"
\n" ); document.write( "So we will have
\n" ); document.write( "\"1=0.4%2A7%2Bb\" --> \"1=2.8%2Bb\" --> \"b=1-2.8\" --> \"b=-1.8\"
\n" ); document.write( "So the line perpendicular to \"5+x+%2B+2+y+=+5\" and passing through (7,1) has the equation \"y=0.4x-1.8\".
\n" ); document.write( "The same equation can be written in many ways.
\n" ); document.write( "For example, multiplying both sides times 5 we get the equivalent equation
\n" ); document.write( "\"5y=2x-9\".
\n" ); document.write( "And that can be transformed into the equivalent equations
\n" ); document.write( "\"2x-5y-9=0\" and \"2x-5y=9\".
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