Respuesta :

hangingbyathread
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 [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

If two lines are parallel then their slope are also equal [tex]m_1 =m_2[/tex]

we have given with slope of line 1 is [tex]m_1 =\frac{-1}{2}[/tex] and we need to find the slope of line 2,

so,

[tex]m_1 =m_2[/tex]

[tex]\frac{-1}{2} =m_2[/tex]

⇒ [tex]m_2=\frac{-1}{2}[/tex]

Therefore, the slope of line 2 is [tex]\frac{-1}{2}[/tex]

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