A linear function r satisfies r(-4) = 20 and r(2) = 2. What is the value of r(6)?

Find the slope from the two known points: $\frac{2 - 20}{2 - (-4)} = \frac{-18}{6} = -3$. From $x = 2$ to $x = 6$ is an increase of 4 in the input, so the output changes by $-3 \times 4 = -12$. Then $r(6) = 2 - 12 = -10$, choice D. Choice A ($-8$) would require a slope of $-2.5$, which does not match the data. Choice C ($-14$) subtracts 16 from 2, using a change in $x$ of about 5.3 instead of 4. Choice B (8) has the wrong sign. Multiply the slope by the full change in $x$ from a known point.