Set 17: Linear Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Use $y = mx + b$ to find $b$. 1. Substitute: $5= 3(2) + b$. 2. Simplify: $5= 6 + b$. 3. Solve: $b = -1$. 4. Equation: $y = 3 x - 1$. Strategic Tip: Or use point-slope form: $y - 5 = 3(x - 2) \rightarrow y = 3 x - 6 + 5 \rightarrow y = 3 x - 1$. Choice B is incorrect because it assumes the y-coordinate is the intercept. Choice C is incorrect because it adds instead of subtracts ($5 +6$). Choice D is incorrect because it swaps slope and x-coordinate.