Find the slope of the tangent line to the graph of the given function
$f ( x ) = 7 x + 3$ at the indicated point $( 1,10 )$ .
A) $f ^ { \prime } ( 1 ) = 1$
B) $f ^ { \prime } ( 1 ) = 7$
C) $f ^ { \prime } ( 1 ) = 10$
D) $f ^ { \prime } ( 1 ) = 13$
E) $f ^ { \prime } ( 1 ) = 4$

Question

Find the slope of the tangent line to the graph of the given function
 $f ( x ) = 7 x + 3$ at the indicated point $( 1,10 )$ .  
A) $f ^ { \prime } ( 1 ) = 1$
B) $f ^ { \prime } ( 1 ) = 7$
C) $f ^ { \prime } ( 1 ) = 10$
D) $f ^ { \prime } ( 1 ) = 13$
E) $f ^ { \prime } ( 1 ) = 4$

Quizplus · Accepted Answer

The slope of the tangent line to the graph of a linear function like $f(x) = 7x + 3$ is constant and equal to the coefficient of $x$, which is 7.

Find the Slope of the Tangent Line to the Graph f(x)=7x+3f ( x ) = 7 x + 3f(x)=7x+3

Find the Slope of the Tangent Line to the Graph $f ( x ) = 7 x + 3$