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

question 358

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 $\mathrm { y } = 2 \mathrm { x }$ . Give the equation of line $\mathrm { L }$ in slope-intercept form.

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

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Definitions:

Reciprocal Nature

The mutual or two-way characteristic of certain interactions or relationships, where actions or behaviors are mirrored or returned in kind.

Contingency Contracting

A behavioral strategy involving a formal agreement between parties outlining specific behaviors and consequences or rewards.

Reciprocal Behavioral Agreement

An agreement between parties to engage in specific behaviors that are beneficial to each other, establishing a mutual exchange of positive actions.

Potential Barriers

are obstacles or challenges that might impede progress or the achievement of an objective.