1. The problem is to represent the inequality $-2 \leq b$ on a number line. 2. The inequality $-2 \leq b$ means that $b$ is greater than or equal to $-2$. 3. On a number line, this is shown by shading all values starting from $-2$ and extending to the right (towards larger numbers). 4. Since the inequality includes equality ($\leq$), the point at $-2$ should be a closed circle to indicate that $-2$ is included. 5. Therefore, the correct number line has a closed circle at $-2$ and shading extending rightwards. 6. Among the options, option B matches this description: a number line with a right arrow starting at $-2$ with a closed circle at $-2$ and shading extending rightwards to $7$. Final answer: Option B.