The domain and range of part of a line are given.

`x>0`

`y>4`

Which graph could represent this part of the line graph?

1 answer

The given conditions `x > 0` and `y > 4` represent the part of the line graph that lies in the positive x-values and above the y = 4 line.

To represent this graph, we need a line that slants upwards from left to right and is located above the y = 4 line. The line can extend infinitely in both directions, but only the portion in the positive x-values is relevant.

Out of the options given, the graph that best represents this part of the line is:

Option D:
```
---------------------
| |
| |
|_________________ |
y = 4
```

This line slants upward from left to right and is above the y = 4 line.