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Find the slope x equals -4?

Updated: 12/14/2022
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14y ago

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That's a vertical line; the slope is not defined.

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14y ago
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Q: Find the slope x equals -4?
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What line is the tangent to y equals x squared when x equals 2?

To get the tangent, you first need to find it's slope: y = x2 ∴ dy/dx = 2x So the slope with respect to x is equal to 2x. When x = 2 then, the slope is 4. Now you need the y-coordinate that occurs when x equals 2. We know that y = x2, so when x equals 2, y equals 4. You now have a point on the tangent, as well as it's slope, allowing you to define the line: Recall the definition of a line: Δy = sΔx or: y - y1 = s(x - x1) ∴ y - 4 = 4(x - 2) ∴ y = 4 + 4x - 8 ∴ y = 4x - 4 And that is your tangent.


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The slope of x plus 2y equals -6 is?

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