document.write( "Question 263490: find an equation of the line having the given slope and containing the given point \r
\n" ); document.write( "\n" ); document.write( "m=8/9, (5, -4) \n" ); document.write( "

Algebra.Com's Answer #194175 by oberobic(2304) $\"\"$ $\"About$

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y = mx + b
\n" ); document.write( "y = 8/9x + b
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\n" ); document.write( "We also know that the point (5,-4) is on the line.
\n" ); document.write( "So, we can use this to find 'b'.
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\n" ); document.write( "-4 = 8/9(5) + b
\n" ); document.write( "-4 = 40/9 + b
\n" ); document.write( "-4 -40/9 = b
\n" ); document.write( "-36/9 -40/9 = b
\n" ); document.write( "-76/9 = b
\n" ); document.write( "b = -76/9
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\n" ); document.write( "So,
\n" ); document.write( "y = 8/9x -76/9
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\n" ); document.write( "So, when x = 0, y = -76/9
\n" ); document.write( "And when x = 9.5, y = 76/9 -76/9 = 0
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\n" ); document.write( "The graph can be used to inspect this solution.
\n" ); document.write( " $\"graph%28500%2C500%2C-12%2C12%2C-12%2C12%2C8%2F9%2Ax-76%2F9%29\"$
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