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

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 $y = 2 x - 5$ but use a dotted line.

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

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.

Critical points for the plot (dotted line)

x-intercept is at $y = 0$

$0 = 2 x - 5 \implies {x}_{\text{intercep}} = \frac{5}{2}$

y-intercept is at $x = 0$

$y = 2 \left(0\right) - 5 \implies {y}_{\text{intercept}} = - 5$