Find an Equation for the Line with the Given Properties $L$

question 95

Multiple Choice

Find an equation for the line with the given properties.
-The solid line $L$ contains the point $( - 1,4 )$ and is perpendicular to the dotted line whose equation is $y = 2 x$ . Give the equation of line $L$ in slope-intercept form.

• A) \(y = \frac { 1 } { 2 } x + \frac { 7 } { 2 }\)
• B) \(y = - \frac { 1 } { 2 } x + \frac { 7 } { 2 }\)
• C) \(y - 4 = 2 ( x + 1 )\)
• D) \(y - 4 = - \frac { 1 } { 2 } ( x + 1 )\)

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Definitions:

Just Deserts Theory

A principle in criminal justice that advocates for punishments to be proportionate to the severity of the crime.

Commensurate Sentence

A punishment or penalty that is proportionate to the severity of the crime committed.

Censure

Formal disapproval or criticism of someone or something, typically in an official context.

Deontological Theory

A moral philosophy that emphasizes the importance of duty and the inherent rightness or wrongness of actions, regardless of the consequences.