Sangeetha Pulapaka
1

Step 1:

Write the given inequality as a linear equation to find the x-intercept and the y-intercept.

Write the given inequality as y = \frac{1}{2} x -8

Step 2 :

Find the x-intercept

Recall what is the x- intercept.  An x-intercept is where there is no y value and can be represented as (x,0).

Plug in y = 0 in the linear equation   y = \frac{1}{2} -8

0 = \frac{1}{2} x -8

\Rightarrow   x = 16

(16,0) is the x-intercept

Step 3:

Find the y-intercept

Recall what is the y-intercept. A y-intercept is where there is no x-value and can be represented as (0,y)

Plug in x = 0 in the linear equation y = \frac{1}{2}\times 0 - 8

y = -8

Step 4: Plot points (16,0) and (0,-8) on the graph

Step 5: Recall when is a line a dashed one or a solid one. A dashed line is drawn if the inequality has > or <. A solid line is drawn when the inequality has a \geq or \leq

Since the given points are not a part of the solution space since there is inequality > in the given graph. We join these points with a dotted line and shade the region above the line.

This is how to graph the inequality y > \frac{1}{2}-8