To compute \(-2 + (-5)\) using a number line, we can follow these steps:
- Start at -2: Locate -2 on the number line.
- Move left: Since we are adding a negative number (-5), we need to move left on the number line. Move left 5 units from -2.
Here’s the movement:
- From -2, moving left 1 unit you get to -3.
- Moving left 2 units you get to -4.
- Moving left 3 units you get to -5.
- Moving left 4 units you get to -6.
- Moving left 5 units you get to -7.
So, \(-2 + (-5) = -7\).
Thus, the final answer is:
\[ -2 + (-5) = -7 \]