Chapter 2: Q. 17 (page 101)

State whether each equation or function is linear. Write yes or no. If
no, explain your reasoning.
$3 x^{2} - y = 6$

Short Answer

Expert verified

No, the equation is not linear. It is not of the form $y = m x + b$ .

Step by step solution

Step 1. Defining the linear equation

By definition, we have that a linear equation is of the form $y = m x + b$ .

Step 2. Simplifying the given equation

We have:

$\begin{array}{l} 3 x^{2} - y = 6 \\ y = 3 x^{2} - 6 \\ y = a x^{2} + b x + c \end{array}$

Step 3. Determining the final equation

The given equation is not a linear equation; it is not of the form $y = m x + b$ . It is a quadratic equation.

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State whether each equation or function is linear. Write yes or no. If
no, explain your reasoning.
$3 x^{2} - y = 6$

Short Answer

Step by step solution

Step 1. Defining the linear equation

Step 2. Simplifying the given equation

Step 3. Determining the final equation

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State whether each equation or function is linear. Write yes or no. Ifno, explain your reasoning.3x2-y=6

Short Answer

Step by step solution

Step 1. Defining the linear equation

Step 2. Simplifying the given equation

Step 3. Determining the final equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Pure Maths

Probability and Statistics

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

State whether each equation or function is linear. Write yes or no. If
no, explain your reasoning.
$3 x^{2} - y = 6$