Question

find the slope intercept equation for the line tangent to the curve,
y=f(x) when x=3, if f(3)=4 and f'(3)=-2

Answer 1

they give you a point and a slope ....

Answer 2

given a point (a,b), and a slope m; a line equation can be formed as:

y = m(x-a)+b

Answer 3

@amistre64 So I am confused how to figure out the slope and the m from the equation given?

Answer 4

f' IS the slope at a given point, and the point is defined for you as x=3, f(3)=4

Answer 5

given a point (a,b), and a slope m; a line equation can be formed as:
(3,4) f' = -2


y = m(x-a)+b
= -2(x-3)+4

expand to match the slope intercept format

Answer 6

thats,
y=-2x+6+4
y=-2x+10

Answer 7

looks good to me

Answer 8

@amistre64 thanks.