To be parallel must the slope of the lines equal to each other.
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[tex]8x + 2y = 12[/tex]
[tex]2y = - 8x + 12[/tex]
[tex]y = - 4x + 6[/tex]
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From left to right ;
1) The slope-intercept form is :
[tex]y = 4x + 4[/tex]
Which means the slope = 4
Look : 4 ≠ -4 thus this is not the answer.
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2) The slope-intercept form is :
[tex]y = - \frac{1}{4}x + \frac{3}{4} \\ [/tex]
Which means the slope = -¼
Look : -¼ ≠ -4 thus this is not the answer.
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3) The slope-intercept form is :
[tex]y = - 4x - 6[/tex]
Which means the slope = -4
Look : -4 = -4 thus this is the answer.
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4) The slope-intercept form is :
[tex]y = \frac{1}{4}x + \frac{11}{4}\\ [/tex]
Which means slope = ¼
Look : ¼ ≠ -4 thus this is not the answer.
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And we're done...
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