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Anton [14]
3 years ago
14

Through: (-2,-1), slope= 5/2

Mathematics
2 answers:
alekssr [168]3 years ago
6 0
If finding the slope, the answer would be
m=3/2
love history [14]3 years ago
6 0

Answer:

y = \frac{5}{2} x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{5}{2}, thus

y = \frac{5}{2} x + c ← is the partial equation

To find c substitute (- 2, - 1) into the partial equation

- 1 = - 5 + c ⇒ c = - 1 + 5 = 4

y = \frac{5}{2} x + 4 ← equation of line

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Let's simplify step-by-step.

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Answer:

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5 0
3 years ago
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Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2
SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y \frac{dy}{dx} = 0

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\frac{dy}{dx} = - \frac{2x}{2y} = - \frac{x}{y}

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rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2\sqrt{3} ⇒ y = ± 2\sqrt{3}

using x = - 2, y = - 2\sqrt{3}, then

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3 0
3 years ago
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