Linear Graphs and their Equations
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Which equation represents the adjacent graph?
\(\dfrac{x}{2} - \dfrac{y}{3} = 1\)
\(\dfrac{x}{3} - \dfrac{y}{2} = 1\)
\(\dfrac{x}{2} + \dfrac{y}{3} = 1\)
\(\dfrac{x}{3} + \dfrac{y}{2} = 1\)
\begin{align}
&\text{The intercepts are } (2,0) \text{ and } (0,-3)\\
&\begin{aligned}
\text{In } A: &\text{ when } y=0,\quad \; \frac{x}{2}=1 \rightarrow x=2\\
&\text{ when } x=0,\;-\frac{y}{3}=1 \rightarrow y=-3\\ &\therefore \frac{x}{2}-\frac{y}{3}=1\\
&\therefore A
\end{aligned}
\end{align}
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