Question

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

Answer 1

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 = (1/2 * 0) - 5`

`y = 0 - 5`

`y = -5` or `(0, -5)`

For `x = 10`:

`y = (1/2 * 10) - 5`

`y = 5 - 5`

`y = 0` or `(10, 0)`

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.