Which best describes the relationship between the lines with equations 4x−8y=9 and 8x−7y=9?A. parallelB. same lineC. neither perpendicular nor parallelD. perpendicular

Respuesta :

The given equations are,

4x-8y=9 and 8x-7y=9

The slopes can be determined as,

[tex]\begin{gathered} m_1=\frac{-a}{b}=\frac{-(4)}{-8}=\frac{1}{2} \\ m_2=\frac{-a}{b}=\frac{-(8)}{-7}=\frac{8}{7} \end{gathered}[/tex]

As, the slope are not equal nor their product is -1.

Thus, they are neither parallel nor perpendicular.

Thus, option (C) is correct.