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3 years ago

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?

Mathematics

1 answer:

Stella [2.4K]3 years ago

8 0

Step-by-step explanation:

If two lines are parallel, their slopes are equal.

If two lines are perpendicular, their slopes are negative reciprocals; that means that their slopes multiply to -1.

The given line has slope -6.

Line q: slope -1/6; -1/6 * 6 = -1; line q is perpendicular.

Line p: slope 1/6; 1/6 * 6 = 1; line p is neither parallel nor perpendicular.

Line n: slope = -6; -6 = -6; line n is parallel to the given line

Line m: slope = 6; line m is neither parallel nor perpendicular.

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Given that f(–2.4) = -1 and f(-1.9) = -8, approximate f'(-2.4). f'(-2.4)

lora16 [44]

Answer:

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General Formulas and Concepts:
Algebra I

Coordinate Planes

Coordinates (x, y)

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

Functions

Function Notation

Calculus

Differentiation

Derivatives
Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

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

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

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

Unit: Differentiation

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