Step 1:
Concept
Two lines are parallel if their slopes are equal.
Two lines are perpendicular if product of their slopes = -1
Step 2:
Find the slope of each line by writing each equation in the form of y = mx + c.
m = slope and c = intercept on y-axis
[tex]\begin{gathered} \text{5x + 2y = 14} \\ 2y\text{ = -5x + 14} \\ y\text{ = }\frac{-5}{2}x\text{ + 7} \\ \text{Therefore, slope m}_1\text{ = }\frac{-5}{2} \\ \\ \text{Next,} \\ y\text{ = -5x + 9} \\ \text{slope m}_2\text{ = -5} \end{gathered}[/tex]Final answer
[tex]\begin{gathered} m_1\text{ }\ne m_2\text{ ( The two lines are not parallel)} \\ m_1m_2\text{ }\ne\text{ -1 ( The two lines are not perpendicular)} \\ \text{Hence, neither is the final answer} \end{gathered}[/tex]Option C neither
