What is the slope of any line perpendicular to the line passing through #(12,-2)# and #(7,8)#?
The slope a line that is perpendicular to a given line would be the inverse slope of the given line
The formula for the slope of a line based upon two coordinate points is
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First, find the slope of the line passing through the points (12, -2) and (7, 8):
[ \text{Slope} = \frac{8 - (-2)}{7 - 12} = \frac{8 + 2}{7 - 12} = \frac{10}{-5} = -2 ]
The slope of any line perpendicular to this line would be the negative reciprocal of -2, which is ( \frac{1}{2} ).
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To find the slope of the line passing through (12, -2) and (7, 8), use the formula: [m = \frac{{y_2 - y_1}}{{x_2 - x_1}}.] So, the slope of the line passing through (12, -2) and (7, 8) is: [m = \frac{{8 - (-2)}}{{7 - 12}} = \frac{{10}}{{-5}} = -2.] The slope of any line perpendicular to this line would be the negative reciprocal of -2, which is (m_{\text{perpendicular}} = \frac{1}{2}).
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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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