1 Answer

Kopecs · Answer 1 · 2023-03-12T16:59:37+0000

Two lines are parallel if their slopes are equal.

In this case we have the lines:

$\begin{gathered} y-7x=6 \\ y+7x=8 \end{gathered}$

If we rearrange them in slope-intercept form, we get:

$\begin{gathered} a)y-7x=6\longrightarrow y=7x+6 \\ b)y+7x=8\longrightarrow y=-7x+8 \end{gathered}$

As line a has a slope m=7 and line has a slope m=-7, the lines have different slopes so they are not parallel.

$\begin{gathered} m_a=7 \\ m_b=-7 \\ 7\\eq-7\longrightarrow\text{not parallel} \end{gathered}$

Answer: The lines are not parallel

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