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Elena L [17]
3 years ago
14

Equations of lines in slope intercept form: through (5,3) and (0,2)

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

y=(x/5)+2

Step-by-step explanation:

Slope = rise over run = (3-2)/(5/0) = 1/5

b = y-intercept = 2

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I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?
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Answer:

See Explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties
  • Reciprocals

<u>Algebra II</u>

  • Log/Ln Property: ln(\frac{a}{b} ) = ln(a) - ln(b)

<u>Calculus</u>

Derivatives

Basic Power Rule:

  • f(x) = cxⁿ
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Step-by-step explanation:

<u>Step 1: Define</u>

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<u>Step 2: Differentiate</u>

  1. Rewrite:                                                                                                         t = ln(\frac{2x-1}{x-1})
  2. Rewrite [Ln Properties]:                                                                                 t = ln(2x-1) - ln(x - 1)
  3. Differentiate [Ln/Chain Rule/Basic Power Rule]:                                         \frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1
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