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Verified Answer :

for two lines to be parallel, the lines have to have equal slopes. Line 2 should have the same exact slope as line 1.
if it was perpendicular then the line would have the reciprocal (for example: Line one has the slope of 3, then line two would have the slope of 1/3; get it?)

Answer:

the slope of line 2 is \(\frac{-1}{2}\)

Step-by-step explanation:

If two lines are parallel then their slope are also equal \(m_1 =m_2\)

we have given with slope of line 1 is \(m_1 =\frac{-1}{2}\) and we need to find the slope of line 2,

so,

\(m_1 =m_2\)

\(\frac{-1}{2} =m_2\)

⇒ \(m_2=\frac{-1}{2}\)

Therefore, the slope of line 2 is \(\frac{-1}{2}\)