A table of values for a linear function is given. Find $$f ( 5 )$$ . $$\begin{array} { | l | l | l | }
\hline \boldsymbol { x } & 2 & 3 \
\hline \boldsymbol { f } ( \boldsymbol { x } ) & 7 & 2 \
\hline
\end{array}$$
A) $f ( 5 ) = - 12$
B) $f ( 5 ) = 42$
C) $f ( 5 ) = - 8$
D) $f ( 5 ) = 25$
E) $f ( 5 ) = - 7$

Question

A table of values for a linear function is given. Find $$f ( 5 )$$ . $$\begin{array} { | l | l | l | } 
\hline \boldsymbol { x } & 2 & 3 \
\hline \boldsymbol { f } ( \boldsymbol { x } ) & 7 & 2 \
\hline
\end{array}$$ 
A) $f ( 5 ) = - 12$
B)  $f ( 5 ) = 42$
C)  $f ( 5 ) = - 8$
D)  $f ( 5 ) = 25$
E)  $f ( 5 ) = - 7$

Quizplus · Accepted Answer

The slope of the linear function is $(2 - 7)/(3 - 2) = -5$. Using the point-slope form, $f(x) = -5(x - 2) + 7$. Substituting $x = 5$, $f(5) = -5(5 - 2) + 7 = -8$.

A Table of Values for a Linear Function Is Given f(5)f ( 5 )f(5)

A Table of Values for a Linear Function Is Given $f ( 5 )$