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

1 Answer
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 = (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.

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