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Line a has the equation "-6x+2y=4." Line b has the equation y=-6x +1. Which line is steeper? Are the lines parallel,perpendicular, or neither

User Tachy
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Answers in bold:

Which line is steeper? Line B) y = -6x+1

Are the lines parallel, perpendicular, or neither? Neither

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Step-by-step explanation:

Let's solve line A for y

-6x+2y=4

2y = 6x+4

y = 6x/2 + 4/2

y = 3x+2

This equation is in slope-intercept form y = mx+b

  • m = 3 = slope
  • b = 2 = y intercept

The slope of line A is 3.

Compared to the equation for line B, y = -6x+1, it has a slope of -6 which makes the second line to be steeper. The further the slope value is away from 0, the more steep the line gets.

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Since the slope of line A (3) is not equal to the slope of line B (-6), this means the lines aren't parallel.

The lines aren't perpendicular either because the two slopes do not multiply to -1. In other words, the slopes aren't negative reciprocals of one another.

Therefore, we go with "neither".

User Lasse Espeholt
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