To find the slope (m) of the line that goes from the point \((0, 1)\) to the point \((3, 7)\), we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, we can assign the following values:
- \((x_1, y_1) = (0, 1)\)
- \((x_2, y_2) = (3, 7)\)
Now, substitute these values into the formula:
\[ m = \frac{7 - 1}{3 - 0} = \frac{6}{3} = 2 \]
Therefore, the slope of the line is \(m = 2\).