Find the slope $m \text { of the line tangent to the graph of the function } f ( x ) = 2 - 7 x \text { at the }$ point $( - 1,9 )$
A) $m = - 7$
B) $m = - 2$
C) $m = 2$
D) $m = 7$
E) $m = - 9$

Question

Quizplus · Accepted Answer

To find the slope of the line tangent to the graph of the function at the point $(-1,9)$, we need to find the derivative of the function $f(x)$ at $x=-1$. Using the power rule of differentiation, we have:

$$f'(x)=-7$$

So, $f'(-1)=-7$, which is the slope of the tangent line at $x=-1$. Therefore, the answer is A) $m=-7$.

Find the Slope m of the line tangent to the graph of the function f(x)=2−7x at the m \text { of the line tangent to the graph of the function } f ( x ) = 2 - 7 x \text { at the }m of the line tangent to the graph of the function f(x)=2−7x at the

Find the Slope $m \text { of the line tangent to the graph of the function } f ( x ) = 2 - 7 x \text { at the }$