Answer: -7
Explanation:
The slope the indifference curve is given by
[tex]\text{slope} = -\frac{\text{marginal utility of good }x}{\text{marginal utility of good }y}
\\
\\ \indent \text{slope} = -\frac{4xy}{2x^2}
\\
\\ \indent \text{slope} = -\frac{2y}{x}
\\
\\ \indent \text{slope} = -\frac{2(7)}{2}
\\
\\ \indent \boxed{ \text{slope} = -7}[/tex]
