As an expert in mathematical analysis, I can guide you through the process of finding the Y-intercept from a table of data. The Y-intercept of a linear equation is the point where the line crosses the Y-axis. In the context of a table, it's the value of Y when X is equal to zero.
To find the Y-intercept from a table, follow these steps:
1. **Identify the column or row where X is zero**. If there is no entry for X = 0, you may need to estimate it by using the two closest points to X = 0 and finding the corresponding Y values.
2. Look at the corresponding Y value when X is zero. This is your Y-intercept.
3. If you need to estimate and cannot find an exact X = 0 in the table, use
linear interpolation. This involves finding the equation of the line between the two closest points to X = 0 and then solving for Y when X = 0.
Here's an example to illustrate the process:
Suppose you have a table with the following data:
```
X | Y
---------------------
-1 | 1
0 | b
1 | 3
```
The Y-intercept is the value of Y when X is zero, which in this table is directly given as 'b'.
If the table did not have an entry for X = 0, you would use the two closest X values to estimate the Y-intercept. For example, if you had the following table:
```
X | Y
---------------------
-1 | 1
1 | 3
```
You would estimate the Y-intercept by drawing a line between the points (-1, 1) and (1, 3) and finding where it crosses the Y-axis (X = 0).
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