To find the equation of the line that passes through the points (1, 5), (2, 7), (3, 9), and (4, 11), we can first determine the slope (m) of the line using any two of the given points.
Let's use the points (1, 5) and (2, 7).
The formula for the slope (m) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substituting the values: \[ m = \frac{7 - 5}{2 - 1} = \frac{2}{1} = 2 \]
Now that we have the slope, we can use the point-slope form of the equation of a line: \[ y - y_1 = m(x - x_1) \]
Using the point (1, 5): \[ y - 5 = 2(x - 1) \]
Now, simplify the equation: \[ y - 5 = 2x - 2 \] \[ y = 2x + 3 \]
Thus, the formula for the points is: \[ \boxed{y = 2x + 3} \]