Question 637406
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
f(x)= -3x^2 + 5x 
f '(x) = -6x + 5, when x = -1   &#8658;    f '(-1) ={{{ m =  11}}}
y = mx + b (representing the Line tangent to the curve at x = -1)
y = 11x + b    |Using Pt(-1,-8) to solve for b
-8 = 11 + b
3 = b
y = 11x + 3 is the line tangent ro the cureve at (-1,-8)

{{{drawing(300,300,   -6, 6, -15, 6,  blue(line(5/6,6,5/6,-15))  , grid(1),
circle(-1, -8,0.3),
graph( 300, 300, -6, 6, -15, 6, 0,11x + 3,-3x^2 + 5x  ))}}}