\begin{tabular}{|c|c|}
\hline Cones Sold & Profit \\
\hline 0 & $-\$ 391$ \\
\hline 100 & $-\$ 220$ \\
\hline 200 & $-\$ 49$ \\
\hline 300 & $\$ 122$ \\
\hline 400 & $\$ 293$ \\
\hline 500 & $\$ 464$ \\
\hline
\end{tabular}

Step 1 ：The table shows a linear relationship between the number of cones sold and the profit.

Step 2 ：We can calculate the slope and y-intercept of this linear relationship using the formula for slope (change in y over change in x) and the formula for y-intercept (y - mx).

Step 3 ：The slope is calculated to be 1.71.

Step 4 ：The y-intercept is calculated to be -391.0.

Step 5 ：This means that for every additional cone sold, the profit increases by $1.71, and when no cones are sold, the profit is -$391.0.

Step 6 ：The linear relationship between the number of cones sold and the profit can be represented by the equation \(\boxed{y = 1.71x - 391}\).