Chapter 9.5, Problem 28IP

To determine

To graph the equation using slope and y-intercept.

Explanation of Solution

Given information:

The given equation is:

  $\text{x}-2\text{y}=8$

Graph:

The equation is written as:

  $\begin{array}{l}\text{x}-2\text{y}=8\\ -2\text{y}=-\text{x}+8\left[\text{Subtracting both sides by x}\right]\\ \text{y}=\frac{\text{x}}{2}-4\left[\text{Divide both sides by }-\text{2}\right]\\ \text{y}=\frac{1}{2}\text{x}-4\left[\text{Write the equation in the form y}=\text{mx}+\text{c}\right]\end{array}$

The slope of the equation is $\frac{1}{2}$ and the y-intercept is $-4$ .

Graph the y-intercept at $\left(0,-4\right)$ .

Using the slope $\frac{1}{2}$ locate another point on the line.

Move $\text{y}$ up by $\text{1 unit}$ and move $\text{x}$ right by $2\text{ units}$ .

The other point is $\left(4,-2\right)$ .

Draw a line through the two points.

The graph is: