Question

Which line is parallel to the line 8x + 2y = 12?

Help ASP please!!!

Answer 1

To be parallel must the slope of the lines equal to each other.

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`8x + 2y = 12`

`2y = - 8x + 12`

`y = - 4x + 6`

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From left to right ;

1) The slope-intercept form is :

`y = 4x + 4`

Which means the slope = 4

Look : 4 ≠ -4 thus this is not the answer.

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2) The slope-intercept form is :

`y = - (1)/(4)x + (3)/(4) \\`

Which means the slope = -¼

Look : -¼ ≠ -4 thus this is not the answer.

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3) The slope-intercept form is :

`y = - 4x - 6`

Which means the slope = -4

Look : -4 = -4 thus this is the answer.

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4) The slope-intercept form is :

`y = (1)/(4)x + (11)/(4)\\`

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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