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Math Question

In this coordinate plane, the slope of line \( a \) is equal to the slope of line \( b \). To prove that line \( a \) is parallel to line \( b \), Emilio wants to first prove that \( \triangle K L \) is similar to \( \triangle M N L \) using the Side-Angle-Side similarity theorem. He knows that \( \angle J L K \) and \( \angle M L N \) are congruent vertical angles. Based on the diagram and the given information, which of the following statements can Emilio use in his proof? Since the slope of line \( a \) is equal to the slope of line \( b, \frac{J L}{K L}=\frac{N L}{M L} \). Since the slope of line \( a \) is equal to the slope of line \( b, \frac{J}{\mathrm{KL}}=\frac{\mathrm{NL}}{\mathrm{NL}} \). Since the slope of line \( a \) is equal to the slope of line \( b, \frac{\mathrm{NL}}{\mathrm{J}}=\frac{\mathrm{ML}}{\mathrm{NL}} \).

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