document.write( "Question 147542This question is from textbook
\n" ); document.write( ": Determine the equation of a line through (0,9) with a slope of 1/2. Write the answer in slope intercept form. \n" ); document.write( "
Algebra.Com's Answer #107925 by Electrified_Levi(103)\"\" \"About 
You can put this solution on YOUR website!
Hi, hope I can help
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\n" ); document.write( "Determine the equation of a line through (0,9) with a slope of 1/2. Write the answer in slope intercept form.
\n" ); document.write( "The slope intercept form is = ( y = mx + b ), where \"m\" is the slope.
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\n" ); document.write( "It has given us the slope, so we can replace \"m\" with \"+1%2F2+\",
\n" ); document.write( "It would be [y = (1/2)x + b], or
\n" ); document.write( "\"+y+=+%281%2F2%29x+%2B+b+\"
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\n" ); document.write( "It also gave us a point through the line, (0,9)
\n" ); document.write( "Since points are in the form (x,y), we can replace the \"x\" and \"y\" in our equation, ( x = 0)( y = 9), and solve for b.
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\n" ); document.write( "\"+9+=+%281%2F2%290+%2B+b+\"
\n" ); document.write( "\"+9+=+0+%2B+b+\"
\n" ); document.write( "\"+9+=+b+\", or \"+b+=+9+\"
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\n" ); document.write( "Now we can replace the \"b\" with the 9.
\n" ); document.write( "The equation of the line would be \"+y+=+%281%2F2%29x+%2B+9+\"
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\n" ); document.write( "You can check by replacing the \"x\" and \"y\" again with (0,9).
\n" ); document.write( "\"+9+=+%281%2F2%290+%2B+9+\"
\n" ); document.write( "\"+9+=+0+%2B+9+\"
\n" ); document.write( "\"+9+=+9+\"
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\n" ); document.write( "Some other points to \"+y+=+%281%2F2%29x+%2B+9+\"
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\n" ); document.write( "(2,10), (-2,8), (-18,0), (6,12)
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\n" ); document.write( "Hope I helped, Levi\r
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