Set 4: Linear Functions (Intermediate)

Choice A is correct. 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 it results from an error in the solution process. ($5 -2$ instead of $5 +2$). Choice D is incorrect because $A$ is negative (though technically valid, A is preferred).