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

1 Answer
Tony B
Mar 13, 2018

see explanation

Explanation:

is a dotted line as the y value can not be on the actual line.

= is a solid line as the y value can be on the actual line

So we plot the line #y=2x-5# but use a dotted line.

As we have #y># we may select any value of #y# that is greater than the #y# for #y=2x-5#

So for a given value of #x# there would be an infinite values of #y# apart from that on the line or below it. Thus we have a region of permitted values.

Tony B

Critical points for the plot (dotted line)

x-intercept is at #y=0#

#0=2x-5 => x_("intercep")=5/2#

y-intercept is at #x=0#

#y=2(0)-5=>y_("intercept")=-5#

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