Determine the equation of a tangent to the curve defined by the equation
F(x): -7x+5
X =8
The slope-intercept form for the equation of the tangent line to curve X=8 , and Y is ?

If you don't mind explaining how you get your answer, so I can learn. I really appreciate it thanks!

Question

Determine the equation of a tangent to the curve defined by the equation 
    F(x): -7x+5
X =8 
The slope-intercept form for the equation of the tangent line to curve X=8 , and Y is ?

If you don't mind explaining how you get your answer, so I can learn. I really appreciate it thanks!

agentjamesbond007 · Answer

equation of the tangent line is the derivative
using rules of derivation, $$cx ^{n}$$ --> $$cnx ^{n-1}$$

f'(x) = 7

plug your x-coordinate to get the y

since 7 is a constant, it is 0. So you're solving for the equation at (8,0)

Use point-slope

y-y1=m(x-x1)

y-0=7(x-8)

your equation of the slope of the curve at (8,0) or x=8 is 

y=7x-56

anonymous · Answer

thank you I know where I messed up, i solved as if it was a regular line. Ha!

agentjamesbond007 · Answer

You're Welcome!