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

1 Answer
smendyka
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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