Choice A is the correct answer. Start with point-slope, then rearrange.

1. Point-Slope: $y - 5 = -1(x - 2)$.
2. Distribute: $y - 5 = -x + 2$.
3. Rearrange: Add $x$ to both sides $\rightarrow x + y - 5 = 2$.
4. Standard Form: $x + y = 7$.

💡 Strategic Tip: Standard form $Ax+By=C$ usually requires $A, B, C$ to be integers and $A \geq 0$.

Choice B is incorrect because sign error. Choice C is incorrect because calculation error ($5-2$ instead of $5+2$). Choice D is incorrect because$A$ is negative (though technically valid, A is preferred).