# Question #ae286

Feb 14, 2017

The answer is 3. $y = 2 x + 3$.

#### Explanation:

Substitute each value of $x$ into the equation and solve for $y$. You will see that the values for $x$ and $y$ on the table will be determined by using the equation $y = 2 x + 3$.

$\left(\textcolor{red}{x} , \textcolor{b l u e}{y}\right)$
$\textcolor{b l u e}{y} = 2 \textcolor{red}{x} + 3$

$\left(\textcolor{red}{1} , \textcolor{b l u e}{5}\right) \Rightarrow$

$\textcolor{b l u e}{y} = 2 \cdot \textcolor{red}{1} + 3 = 2 + 3 = \textcolor{b l u e}{5}$

$\left(\textcolor{red}{2} , \textcolor{b l u e}{7}\right) \Rightarrow$

$\textcolor{b l u e}{y} = 2 \cdot \textcolor{red}{2} + 3 = 4 + 3 = \textcolor{b l u e}{7}$

$\left(\textcolor{red}{3} , \textcolor{b l u e}{9}\right) r \Rightarrow$

$\textcolor{b l u e}{y} = 2 \cdot \textcolor{red}{3} + 3 = 6 + 3 = \textcolor{b l u e}{9}$

$\left(\textcolor{red}{4} , \textcolor{b l u e}{11}\right) \Rightarrow$

$\textcolor{b l u e}{y} = 2 \cdot \textcolor{red}{4} + 3 = 8 + 3 = \textcolor{b l u e}{11}$