How do you find the slope of the line perpendicular to #y = -3x + 9#?

Answer 1

Kennedy Adams

If a line has a slope of #m# any perpendicular to it has a slope of #-1/m#

#y=-3x+9# is an equation in the slope y-intercept form where the slope is #-3#

Therefore the slope of any line perpendicular to this line is #1/3#

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Answer 2

Hazel Anglin

To find the slope of the line perpendicular to y = -3x + 9, we first need to determine the slope of the given line. In the equation y = mx + b, where m represents the slope, the slope of the given line is -3.

Since perpendicular lines have slopes that are negative reciprocals of each other, to find the slope of the line perpendicular to y = -3x + 9, we take the negative reciprocal of -3.

The negative reciprocal of -3 is 1/3. Therefore, the slope of the line perpendicular to y = -3x + 9 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.