The missing value of Y in the second data point (0, ?) is 2.
The given table represents a system of linear equations with two variables, X and Y. The first column represents the values of X, and the second column represents the corresponding values of Y.
In this case, we have two data points: (-1, 1) and (0, ?), where the value of Y is missing for the second data point.
To find the missing value of Y, we can observe that the X-coordinate is changing by 1 unit from the first data point to the second.
If we assume a linear relationship between X and Y, we can determine the change in Y corresponding to a change of 1 unit in X. This change is often referred to as the slope of the line.
Using the first data point (-1, 1), we can calculate the slope. The change in Y is 1 unit, and the change in X is also 1 unit. Therefore, the slope (m) is equal to the change in Y divided by the change in X:
m = (change in Y) / (change in X) = 1 / 1 = 1
Now, we can use the slope and the first data point (-1, 1) to find the equation of the line.
We can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Using the values from the first data point, we have:
y - 1 = 1(x - (-1))
y - 1 = 1(x + 1)
Simplifying the equation, we have:
y - 1 = x + 1
To find the missing value of Y in the second data point (0, ?), we can substitute the value of X into the equation:
? - 1 = 0 + 1
Simplifying the equation, we have:
? - 1 = 1
Now, we can solve for the missing value of Y:
? = 1 + 1
? = 2
Therefore, the missing value of Y in the second data point (0, ?) is 2.
The probable question for given table is "find the missing value of Y in the second data point (0, ?).