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Lena [83]
3 years ago
15

Parallel to y=2/3x+6 through (-3, 6)

Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

y = (2/3)x + 8

Step-by-step explanation:

Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.

y = (2/3)x + ?

Plug in (-3, 6) for (x, y) in the equation.

6 = (2/3)(-3) + ?

6 = -2 + ?

? = 8

Final equation: y = (2/3)x + 8

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8 + z = 19. step equations
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Given that f(–2.4) = -1 and f(-1.9) = -8, approximate<br> f'(-2.4).<br> f'(-2.4)
lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Functions

  • Function Notation

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.

<u>Step 1: Define</u>

<em>Identify.</em>

f(-2.4) = -1

f(-1.9) = -8

<u>Step 2: Differentiate</u>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. [Derivative] Set up [Slope Formula]:                                                           \displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}
  2. Substitute in coordinates:                                                                           \displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}
  3. Evaluate:                                                                                                       \displaystyle f'(-2.4) \approx -14

---

Learn more about derivatives: brainly.com/question/17830594

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

6 0
2 years ago
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Answer: Its the 2nd and 4th

Step-by-step explanation:

i am sorry i know its not gonna help you now but its for others!

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Does 2/3 and 10/16 form a proportion? explain
Romashka [77]
No because you would not be able to divide them by a number and get the same answer so no they are not proportional
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3 years ago
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