Question: Which of the following is an example of a non-linear equation?
Options:
y = 2x + 5
y = x^2 - 4
y = 3x - 1
y = 7
Correct Answer: y = x^2 - 4
Solution:
The equation y = x^2 - 4 is non-linear because it involves a variable raised to a power greater than one.
Which of the following is an example of a non-linear equation?
Practice Questions
Q1
Which of the following is an example of a non-linear equation?
y = 2x + 5
y = x^2 - 4
y = 3x - 1
y = 7
Questions & Step-by-Step Solutions
Which of the following is an example of a non-linear equation?
Step 1: Understand what a non-linear equation is. A non-linear equation is one that does not form a straight line when graphed.
Step 2: Look for equations that have variables raised to powers greater than one, or involve multiplication of variables, or have variables in the denominator.
Step 3: Check the given equation y = x^2 - 4. Notice that x is raised to the power of 2.
Step 4: Since the power of x is greater than one, this means the equation is non-linear.
Step 5: Conclude that y = x^2 - 4 is indeed a non-linear equation.
No concepts available.
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