SOLUTION: i need help writing an equation for this (2,3); x+4y=9

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I assume you mean you want to know if the line goes through (2,3)?
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First, get the equation into slope-intercept form: y = mx + b
x +4y = 9
Subtract x from both sides
4y = -x +9
Divide both sides by 4
y = -x/4 + 9/4
That's means the slope = -1/4.
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When x=0, y=9/4, which is the y-intercept
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When x = 2, y = ?
y = -2/4 + 9/4
y = 7/4
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So the line does not go through (2,3).
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Graphing the line may be helpful.

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Done