Find an Equation of the Line $( 8 , - 58 ) , ( - 5,33 )$

question 60

Multiple Choice

Find an equation of the line. Write the equation using function notation.
- $( 8 , - 58 ) , ( - 5,33 )$

• A) \(f ( x ) = - 7 x - 2\)
• B) \(f ( x ) = 7 x - 114\)
• C) \(f ( x ) = \frac { 1 } { 7 } x - \frac { 414 } { 7 }\)
• D) \(y = - \frac { 1 } { 7 } x - \frac { 398 } { 7 }\)

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Definitions:

Simplify

The process of reducing an expression to its simplest form, making it easier to understand or solve.

\(8^x\cdot 8^{x-1}\)

An expression that can be simplified to \(8^{2x-1}\) using the properties of exponents.

\(10,000(1.07)^{4t}\)

An exponential growth equation, where \(10,000\) is the initial quantity and \(1.07\) is the growth factor applied every period \(t\), scaled by a factor of 4.

\(10,000(1.09)^{3t}\)

An exponential function, often used in finance to calculate compounded interest or investment growth over time.