functions and finding coordinates

[mlane]

I am given a graph with a function and a tangent line tangent to point A. Also I am given point B and C also located on the tangent line. I have the x cooridinates but do not know how to find the y cooridinate. The function has F(4)=25 and F'(4) =1.5. I am suppose to give the coordinates of points a,b,c.

 

[Gene]

You want the line equation
y=mx+b
m=F' so we are now looking for
y=1.5x+b
When x=4, y=25 so b=19 and it becomes
y=1.5x+19
Plug in the x values to get the y values.