Question

Question content area top left
Part 1
Find the​ x-intercept and the​ y-intercept. Then graph the equation.
yequals3
Question content area bottom left
Part 1
Choose the correct​ x-intercept below.
A.left parenthesis 3 comma 0 right parenthesis
left parenthesis 3 comma 0 right parenthesis
B.left parenthesis 0 comma 3 right parenthesis
left parenthesis 0 comma 3 right parenthesis
C.
none

Answer 1

To find the x-intercept and y-intercept for the equation \( y = 3 \):

1. **Y-Intercept**: This is found by setting \( x = 0 \).
\[
y = 3
\]
So, the y-intercept is at the point \( (0, 3) \).

2. **X-Intercept**: This is found by setting \( y = 0 \).
\[
0 = 3
\]
There is no solution for this equation, which means there is no x-intercept.

Now, let's summarize the intercepts:
- **Y-Intercept**: \( (0, 3) \)
- **X-Intercept**: None

### Answer
The correct choice for the x-intercept is:
C. none

And the y-intercept is \( (0, 3) \).

### Graphing the Equation
The graph of the equation \( y = 3 \) is a horizontal line that crosses the y-axis at 3. It will look like this:

```
|
4 -|--------
|
3 -|-------- (0,3)
|
2 -|
|
1 -|
|
+-----------------
0 1 2 3 4
```

In the graph above, the line \( y = 3 \) runs parallel to the x-axis, and it does not touch the x-axis, confirming that there is no x-intercept.