Solve the problem.
-Create a linear function whose graph has a slope of $- 4$ and a $y$-intercept at $\left( 0 , \frac { 5 } { 4 } \right)$.
A) $f ( x ) = - \frac { 5 } { 4 } x + 4$
B) $f ( x ) = - 4 x + \frac { 5 } { 4 }$
C) $f ( x ) = 4 x + \frac { 5 } { 4 }$
D) $f ( x ) = \frac { 5 } { 4 } x - 4$

Question

Quizplus · Accepted Answer

The standard form of a linear function is 
$$y = mx + b$$ where $m$ is the slope and $b$ is the $y$-intercept.
We are given that the slope is $-4$ and the $y$-intercept is $\left(0, \frac{5}{4}\right)$. Thus, $m = -4$ and $b = \frac{5}{4}$. Plugging in these values, we get 
$$y = -4x + \frac{5}{4}$$ which is equivalent to choice $\boxed{\textbf{(B)}}$.

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