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Algebra 2
Found in: Page 66
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.


No, the equation y=2x-5 is not a linear equation.

See the step by step solution

Step by Step Solution

Step 1 – Definition of a linear equation and linear function.

In a linear equation the exponent of each variable is 1 and the variables may not be multiplied together. The graph of a linear equation is always a line.

In a linear function, each input value has a unique output value. In other words, for each point in domain, there is a unique value in the range of function. It can be written as f(x)=mx+b, where m and b are real numbers.

Step 2 – Given information.

The given equation is:


Taking square on both sides.


Step 3 – Check whether the equation is linear or not.

In the equation y2=2x-5 the exponent of x is 1 and the exponent of y is 2.

The equation y2=2x-5 is not a linear equation because y has an exponent other than 1.

The equation y2=2x-5 is equivalent to y=2x-5. So, the equation y=2x-5 is not linear.

Thus, the required answer is “No” because the equation y=2x-5 is not a linear equation.

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