Solve the Problem $y = a x + b$ That Passes Through the Points

question 46

Multiple Choice

Solve the problem.
-Find the equation of the line $y = a x + b$ that passes through the points $( - 5,5 )$ and $( 3 , - 9 )$ .

• A) \(y = - \frac { 7 } { 4 } x - \frac { 15 } { 4 }\)
• B) \(y = - \frac { 15 } { 4 } x - \frac { 7 } { 4 }\)
• C) \(y = - \frac { 1 } { 2 } x + 1\)
• D) \(y = - \frac { 7 } { 4 } x + \frac { 15 } { 2 }\)

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Definitions:

Redistributing Income

The transfer of income from certain individuals or groups to others through mechanisms like taxation, social security, and welfare programs, aiming at reducing income inequality.

Tradeoff

An exchange where one quality or aspect must be given up in order to gain another quality or aspect.

Efficiency

The optimal allocation of resources to maximize the production of goods and services or the achievement of a given objective with the least amount of waste.

Equality

Having parity in terms of opportunities, rights, and social status.