A linear equation of the from ax+by+c=0 when represented graphically gives a __________

Answer

To answer the question, "A linear equation of the form ax + by + c = 0 when represented graphically gives a __________," we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Form of the Equation**: The given equation is in the standard form of a linear equation, which is ax + by + c = 0. Here, 'a', 'b', and 'c' are constants.

2. **Identify the Nature of the Graph**: A linear equation represents a relationship between two variables (x and y). When plotted on a graph, it describes how y changes with respect to x.

3. **Graphical Representation**: The graphical representation of a linear equation is a straight line. This is because the equation describes a linear relationship, meaning that for every change in x, there is a proportional change in y.

4. **Intercepts**: The intercepts of the line can be found by converting the equation into intercept form or by finding where the line crosses the x-axis and y-axis. The x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

5. **Conclusion**: Therefore, when we represent the linear equation ax + by + c = 0 graphically, it gives us a **straight line**.

### Final Answer:
A linear equation of the form ax + by + c = 0 when represented graphically gives a **straight line**.

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