y=2/3x+3 graph the line

Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To graph the line y = (2/3)x + 3, we can start by plotting two points and then connecting them with a straight line.

Let's choose x = 0 and x = 3 as two easy points to start with.

When x = 0, y = (2/3)(0) + 3 = 3. So the first point is (0, 3).

When x = 3, y = (2/3)(3) + 3 = 2 + 3 = 5. So the second point is (3, 5).

Now we can plot these two points on a graph:

(0, 3)

(3, 5)

Once we have the two points plotted, we can draw a straight line through them.

Here is the graph of the line y = (2/3)x + 3:

```
|
6 | x
|
5 | . (3, 5)
|
4 |
|
3 |
|
2 | . (0, 3)
|
1 |
|
|______________________
0 1 2 3 4 5 6
```

Note: The two points plotted and the line connecting them appear as dots "." and a straight line, respectively, in the above representation.

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