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".