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What is the slope of a line perpendicular to the line #3x - y = 8#?

Answer 1

I would write your line in the form #y=mx+c#, where #m# is the slope, as: #y=3x-8# So your line has slope #m=3# The line perpendicular to this one will have slope #m_1=-1/m=-1/3#

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Answer 2

Julia Adams

To find the slope of a line perpendicular to the given line, we first need to find the slope of the given line. Then, we use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

Rewrite the given line in slope-intercept form (y = mx + b) by solving for y: 3x - y = 8 -y = -3x + 8 y = 3x - 8
The slope of the given line is 3.
The slope of a line perpendicular to the given line is the negative reciprocal of 3, which is -1/3.

So, the slope of a line perpendicular to the line 3x - y = 8 is -1/3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.