Chapter 9.5, Problem 35IP

To determine

To write the equation of the line in slope intercept form.

Answer to Problem 35IP

The equation of the line is $\text{y}=2\text{x}+4$ .

Explanation of Solution

Given information:

  

Formula used:

The following formula is used:

  $\text{y}-{\text{y}}_1=\text{m}\left(\text{x}-{\text{x}}_1\right)$

Calculation:

The equation of the line is found by:

  $\begin{array}{l}\text{y}-{\text{y}}_1=\text{m}\left(\text{x}-{\text{x}}_1\right)\\ \text{y}-0=2\left(\text{x}-\left(-2\right)\right)\\ \text{y}=2\left(\text{x}+\text{2}\right)\\ \text{y}=2\text{x}+4\end{array}$

Hence, the equation of the line is $\text{y}=2\text{x}+4$ .