Find Equations of the Tangent Lines to the Curve $y = \frac { x - 8 } { x + 8 }$

question 59

Essay

Find equations of the tangent lines to the curve $y = \frac { x - 8 } { x + 8 }$ that are parallel to the line $x - y = 8 .$
A) $x - y = - 18.5$
B) $x - y = - 4.5$
C) $x - y = - 1.5$
D) $x - y = - 12.5$
E) $x - y = - 15$

• A) \(x - y = - 18.5\)
• B) \(x - y = - 4.5\)
• C) \(x - y = - 1.5\)
• D) \(x - y = - 12.5\)
• E) \(x - y = - 15\)

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Definitions:

Connective

In logic and linguistics, a word or phrase that links sentences or clauses, such as and, or, but.

Clause

A logical unit within a sentence, containing a subject and a predicate, which may stand alone or function as part of a larger sentence.

Predicate

The segment of a sentence or clause which includes a verb and provides information about the subject.

Nonrestrictive Clause

A clause which provides additional information about a noun or pronoun in a sentence but does not limit or define it in an essential way.