To find the slope of line \( d \) that is parallel to the line with a slope of \( -\frac{7}{2} \), you can use the fact that parallel lines have the same slope.
Therefore, the slope of line \( d \) is also \( -\frac{7}{2} \).
There is no simplification needed since \( -\frac{7}{2} \) is already in its simplest form.