Question

Two-Variable Inequalities:

The directions say "Graph each inequality. To start, graph the boundary line"

y < x + 4

How would i graph this, and the boundary line?

Answer 1

awh rachie!

Answer 2

I can't answer your question lol, but I didn't know anyone else knew about this fab site.

Answer 3

Lol yeaaaaah i didnt see it until i saw it from you on facebook or something ;") but im dumb in math sooo yeaaaa

Answer 4

@llkramer might be able to help

Answer 5

The equation is basically asking when we plug in "x" and plus "4" will be greater than the output "y". Draw a graph like so:



The boundary line is basically where the values of "x" falls true of the earlier statement that I wrote.

Do you know how to determine the slope of the equation? and how they are modified?

Answer 6

I know how to do the slope lol i dont know what you mean by "Modified"
my math teacher is a HORRIBLE math teacher and doesnt explain it so im just confused on how to draw it

Answer 7

Okay basically, the slope is the main issue here so we know it's just 1 up and 1 over so the graph of y = x would be this right?

then we add in the "4" which raises the starting point by "4" units in the "y axis" so we move up our graph as so: You see where I'm going when I "modify" the graph?
SO now we change our equal "=" sign to a less than sign "<" and get y < x +4. Now we pick point values that are on one side of the graph we just drew or the other side to "Test" which side falls true for the equation, so lets say we pick (0,0) EASIEST point to pick. We then plug in 0 for "x" and then 0 for "y" and get \[0 < 4\] is that true? Yes! so shade in that area: