Q. 18 - Algebra 2

Question

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

$2x+y=11$

Step-by-Step Solution

Answer

Yes, the equation is linear. It is of the form $y=mx+b$.

Step 1. Defining the linear equation

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

Step 2. Simplifying the equation

We have:

$\begin{array}{l}2x+y=11\\ y=-2x+11\\ y=mx+b\end{array}$

Step 3. Determining the final equation

The given equation is a linear equation; it is of the form $y=mx+b$.