1. Find the midpoint M of the points (3, 7) and (-1, 1):

\(M = \left( \frac{3 + (-1)}{2}, \frac{7 + 1}{2} \right) = (1, 4)\)

2. Find the slope of the line \(\frac{x}{3} + \frac{y}{2} = 1\):

Rewriting in slope-intercept form:

\(\frac{y}{2} = -\frac{x}{3} + 1\)

\(y = -\frac{2}{3}x + 2\)

The slope is \(-\frac{2}{3}\).

3. Use the point-slope form to find the equation of the line through M (1, 4) with the same slope:

\(y - 4 = -\frac{2}{3}(x - 1)\)