Question

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

Answer 1

The given equations are,

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

The slopes can be determined as,

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

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

Thus, they are neither parallel nor perpendicular.

Thus, option (C) is correct.