Chapter 11.8, Problem 5MRE

To determine

To write: The equation in the slope-intercept form.

Answer to Problem 5MRE

The equation in the slope-intercept form is $y=\frac{x}{2}-3$ .

Explanation of Solution

Given information:

The given equation is,

  $x=2y+6$

Concept used:

The standard equation for the linear function cab be written as,

  $y=mx+b$

Here, the slope of the graph is $m$ and the $y$ -intercept is $b$ .

The equation in the slope-intercept form is obtained as,

  $\begin{array}{l}x=2y+6\\ -2y=-x+6\\ y=\frac{x}{2}-3\end{array}$

Thus, the equation in the slope-intercept form is $y=\frac{x}{2}-3$ .