Graph the intersection of the regions satisfied by the following inequation.?

Question

y>3=y =x+5

Answer 1

go to Graphmatica.com and you will be able to enter the system and see the graph.

Answer 2

First draw the y>3 graph.

Draw a horizontal line that crosses the Y axis at 3.  Since y is going to be bigger than 3, that means you're looking at an area that is above the value of 3 on the Y axis.\

Then draw the y = x + 5 graph

The graph is a diagonal line that hits the coordinates (-5,0) and (0,5)

How did I get those coordinates?

   For (-5,0), first substitute y with 0

  (meaning you want to look for the value of x when y is 0)

   so 0 = x + 5

       x = -5

   For (0,5), first substitute x with 0

  (meaning you want to look for the value of y when x is 0)

   so y = 0 + 5

       y = 5

So now, shade in the area that is above the y = 3 line but also below the y = x + 5 line.  That's the intersection of the regions.

Hope that helps.