1. The problem involves identifying decimal numbers on a number line between 7 and 9 with specific decimal digits indicated by points. 2. The first point is below the digit "7" in the first decimal place of the first number, which is of the form $7.7x$ where $x$ is unknown. 3. The second point is below the digit "0" in the last decimal place of the second number, which is of the form $7.y0$ where $y$ is unknown. 4. Since the first number has a decimal digit 7 in the first decimal place, it can be written as $7.7a$ where $a$ is any digit from 0 to 9. 5. The second number ends with 0 in the last decimal place, so it can be written as $7.b0$ where $b$ is any digit from 0 to 9. 6. Both numbers lie between 7 and 9, consistent with the number line. 7. The exact values depend on the unknown digits $a$ and $b$, but the positions indicate the first decimal digit 7 for the first number and last decimal digit 0 for the second number. Final answer: - First number: $7.7a$ - Second number: $7.b0$