Find the equation of the given linear function. $$\begin{array} { | l | l | l | l | l | }
\hline \boldsymbol { x } & - 2 & 0 & 2 & 4 \
\hline \boldsymbol { f } ( \boldsymbol { x } ) & 5 & 1 & - 3 & - 7 \
\hline
\end{array}$$
A) $f ( x ) = - 1 + 2 x$
B) $f ( x ) = 1 - 2 x$
C) $f ( x ) = 4 - 2.1 x$
D) $f ( x ) = 4 - 2 x$
E) $f ( x ) = 1 + 2.7 x$

Question

Find the equation of the given linear function. $$\begin{array} { | l | l | l | l | l | } 
\hline \boldsymbol { x } & - 2 & 0 & 2 & 4 \
\hline \boldsymbol { f } ( \boldsymbol { x } ) & 5 & 1 & - 3 & - 7 \
\hline
\end{array}$$ 
A) $f ( x ) = - 1 + 2 x$
B)  $f ( x ) = 1 - 2 x$
C)  $f ( x ) = 4 - 2.1 x$
D)  $f ( x ) = 4 - 2 x$
E)  $f ( x ) = 1 + 2.7 x$

Quizplus · Accepted Answer

The slope (m) can be calculated using two points from the table, for example, using (0, 1) and (2, -3), we get $m = \frac{-3 - 1}{2 - 0} = \frac{-4}{2} = -2$. The y-intercept (b) is the value of f(x) when x = 0, which is 1. Thus, the equation is $f(x) = 1 - 2x$.

Find the Equation of the Given Linear Function A) f(x)=−1+2xf ( x ) = - 1 + 2 xf(x)=−1+2x

Find the Equation of the Given Linear Function A) $f ( x ) = - 1 + 2 x$