document.write( "Question 455303: i need help writing an equation for this (2,3); x+4y=9 \n" ); document.write( "

Algebra.Com's Answer #312644 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume you mean you want to know if the line goes through (2,3)?
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\n" ); document.write( "First, get the equation into slope-intercept form: y = mx + b
\n" ); document.write( "x +4y = 9
\n" ); document.write( "Subtract x from both sides
\n" ); document.write( "4y = -x +9
\n" ); document.write( "Divide both sides by 4
\n" ); document.write( "y = -x/4 + 9/4
\n" ); document.write( "That's means the slope = -1/4.
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\n" ); document.write( "When x=0, y=9/4, which is the y-intercept
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\n" ); document.write( "When x = 2, y = ?
\n" ); document.write( "y = -2/4 + 9/4
\n" ); document.write( "y = 7/4
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\n" ); document.write( "So the line does not go through (2,3).
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\n" ); document.write( "Graphing the line may be helpful.
\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-1%2F4%2Ax%2B9%2F4%29\"$
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\n" ); document.write( "Done
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