Question

Choose the linear function below that does not have the same y-intercept as the other functions.


On a coordinate plane, a line goes through points (negative 1, negative 2) and (0, 1).
y = negative 8 x + 3
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 2, 5, 8. Column 2 is labeled y with entries 4, 1, negative 2, negative 5.
y = 2 x + 3

Answer 1

To determine which linear function does not have the same y-intercept as the others, we first need to find the y-intercepts of each provided function.

1. **First line through points (-1, -2) and (0, 1):**
- The y-intercept can be directly obtained from the point (0, 1), which means the y-intercept is **1**.

2. **Function: \( y = -8x + 3 \)**
- The y-intercept is the constant term, which is **3**.

3. **Data from the table:**
- The provided table values are:
- When \( x = 0 \), \( y = 4 \) (needs to be checked)
- This means the y-intercept from the table is **4**.

4. **Function: \( y = 2x + 3 \)**
- The y-intercept is also the constant term, which is **3**.

Now, listing the y-intercepts we have:

- From points (-1, -2) and (0, 1): **1**
- From \( y = -8x + 3 \): **3**
- From the table / function (at \( x = 0 \)): **4**
- From \( y = 2x + 3 \): **3**

### Conclusion:
The y-intercepts we obtained are:
- Line from points: **1**
- Function \( y = -8x + 3 \): **3**
- Table values: **4**
- Function \( y = 2x + 3 \): **3**

The **linear function** that does not have the same y-intercept as the others is the line derived from the points, which has a y-intercept of **1**.