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The correct answer is the third option: | 6 | is the distance between 0 and 6, and the distance is always positive regardless of direction.  

Step-by-step explanation:

Distance is a physical measurement, which is never negative. Therefore, the absolute value of a number is never negative.

By this definition, if x is a positive number or 0, then its absolute value is x itself. If x is a negative number, then its absolute value is the additive inverse of x.

Since the absolute value is never negative, then the distance will always be positive, regardless of direction. That is why the third option is the correct

| 6 | is the distance between 0 and 6, and the distance is always positive regardless of direction.  

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4