How do you find the slope given (1/2, -1); (3, -3/4)?
The slope between
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To find the slope given the points (1/2, -1) and (3, -3/4), you can use the slope formula:
slope = (change in y) / (change in x)
Substitute the coordinates into the formula:
slope = (-3/4 - (-1)) / (3 - 1/2)
Then, simplify:
slope = (-3/4 + 1) / (3 - 1/2) slope = (-3/4 + 4/4) / (3 - 1/2) slope = (1/4) / (3 - 1/2)
Now, find a common denominator:
slope = (1/4) / (6/2 - 1/2) slope = (1/4) / (5/2)
Invert the denominator and multiply:
slope = (1/4) * (2/5) slope = 2/20 slope = 1/10
So, the slope of the line passing through the points (1/2, -1) and (3, -3/4) is 1/10.
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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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