What is the slope of any line perpendicular to the line passing through #(11,12)# and #(-15,-2)#?
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To find the slope of the line passing through two points ((x_1, y_1)) and ((x_2, y_2)), you can use the formula:
[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} ]
For the given points ((11,12)) and ((-15,-2)), the slope of the line passing through them is:
[ \text{Slope} = \frac{-2 - 12}{-15 - 11} = \frac{-14}{-26} = \frac{7}{13} ]
The slope of any line perpendicular to this line would be the negative reciprocal of this slope. So, the slope of a line perpendicular to the line passing through ((11,12)) and ((-15,-2)) is:
[ \text{Perpendicular slope} = -\frac{1}{\text{Slope}} = -\frac{1}{\frac{7}{13}} = -\frac{13}{7} ]
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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.
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.
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.
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.
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