Set 4: Linear Functions (Intermediate)

Choice A is correct. Choice A is the correct answer. The origin is $(0, 0)$. 1. Intercept: Passing through the origin means the y-intercept $b = 0$. 2. Slope: $m = -\frac{2}{3}$. 3. Equation: $y = -\frac{2}{3}x + 0$, or $y = -\frac{2}{3}x$. Strategic Tip: Direct variation equations ($y=kx$) always pass through the origin. Choice B is incorrect because it has a y-intercept of 1. Choice C is incorrect because it has the wrong slope sign. Choice D is incorrect because it puts the slope in the intercept position.