Find the Equation of the Line Passing Through the Indicated $y + 6 = - \frac { 11 } { 6 } ( x - 5 )$

question 118

Multiple Choice

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(5, -6) and (7, 1)

• A) \(y + 6 = - \frac { 11 } { 6 } ( x - 5 )\) or \(y - 1 = - \frac { 11 } { 6 } ( x - 7 )\)
• B) \(y + 6 = \frac { 7 } { 2 } ( x - 5 )\) or \(y - 1 = \frac { 7 } { 2 } ( x - 7 )\)
• C) \(y - 6 = \frac { 7 } { 2 } ( x + 5 )\) or \(y + 1 = \frac { 7 } { 2 } ( x + 7 )\)
• D) \(y + 6 = \frac { 11 } { 6 } ( x - 5 )\) or \(y - 1 = \frac { 11 } { 6 } ( x - 7 )\)

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Definitions:

Tiny Bones

Small bones, particularly referring to the 3 bones located in the middle ear known as the malleus, incus, and stapes, essential for hearing.

Audible Range

refers to the range of sound frequencies that can be heard by the human ear, typically from 20 Hz to 20,000 Hz.

Cycles Per Second

A unit of frequency equivalent to one oscillation or vibration per second, known as Hertz (Hz).

Doppler Shift

A change in frequency or wavelength of a wave in relation to an observer moving relative to the source of the wave.