The graph of the linear function f has intercepts at (a,0) and (0, b) in the xy-plane. If `a+b=0` and `a ne b`, which of the following is true about the slope of the graph of f ?

Options

A. It is positive.
B. It is negative.
C. It equals zero.
D. It is undefined.

Explanation

To solve the problem, we need to analyze the given information about the linear function \( f \) with intercepts at points \( (a, 0) \) and \( (0, b) \) in the xy-plane. We know that \( a + b = 0 \) and \( a \neq b \). We need to determine the slope of the graph of \( f \).

### Step-by-Step Solution:

1. **Identify the Points**:
The intercepts are given as \( (a, 0) \) and \( (0, b) \). Here, \( (a, 0) \) is the x-intercept and \( (0, b) \) is the y-intercept.

2. **Use the Relation \( a + b = 0 \)**:
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