The graph of every linear equation in two variables will beA straight lineA curved line A parabolic curveWe can't plot its graph
Question
The graph of every linear equation in two variables will be
- A straight line
- A curved line
- A parabolic curve
- We can't plot its graph
Solution
The graph of every linear equation in two variables will be a straight line.
Here's why:
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A linear equation in two variables is of the form y = mx + c, where m and c are constants.
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The term 'linear' itself indicates a straight line.
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When you plot this equation on a graph, you'll notice that every value of x corresponds to a single value of y. This forms a straight line.
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Unlike quadratic equations (which form parabolic curves) or other higher degree equations (which can form various types of curves), linear equations are simple and always form a straight line.
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Therefore, no matter what the values of m and c are, the graph will always be a straight line.
So, the correct answer is "A straight line".
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