# How do you graph y>=1/2x-5?

Aug 8, 2017

See a solution process below:

#### Explanation:

First, solve this as a equality for two values of $x$ so we can draw a line for the border of the inequality area:

For $x = 0$:

$y = \left(\frac{1}{2} \cdot 0\right) - 5$

$y = 0 - 5$

$y = - 5$ or $\left(0 , - 5\right)$

For $x = 10$:

$y = \left(\frac{1}{2} \cdot 10\right) - 5$

$y = 5 - 5$

$y = 0$ or $\left(10 , 0\right)$

We can then plot the two points on the gird.

Then, draw a solid line through the two points. We will use a solid line because the inequality is "greater than or equal to". If the inequality was just "greater than" we would use a dashed line.

Finally, because this is a greater than or greater than or equal to inequality we shade the area above the line.