Which graph represents this system?

y = 3. x + y = 4.
on a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
on a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0).
on a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6).
on a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7).

For a system with equations y = f(x) and y = g(x), the graph of the system will be just a coordinate plane with the two functions graphed on it.

From this, we can see that the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

Also a graph of the system can be seen at the end of this answer.

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Here our system is:

y = 3

x + y = 4

The first one is a horizontal line at y = 3.

The second can be rewritten as:

y =  -x + 4

So this is a line with a negative slope, that passes through the points (0, 4) (when you evaluate in x = 0, you get y = 4) and (4, 0) (when you evaluate in x = 4, you get y = 0)

Then the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

The graph can be seen below

If you want to learn more, you can read:

link

The correct option is

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).

The Graph is attached below for,

Step-by-step explanation:

Given:

It is a Horizontal Line Passing through ( 0 ,3 ) where all the y coordinate will be 3.

In the graph below

is represented as Red Color Line

Put x = 0

0 + y = 4

∴ y= 4

Therefore A(0,4) ....Green color point in graph

Now, put y = 0

x + 0 = 4

∴ x = 4

Therefore B(4,0) ....Purple color point in graph.

represented in the graph as blue color.

Therefore,

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).