find a, f(a) and slope of curve at (a,f(a) ) on graph f(a)

[smileykd]

I don't know if it is possible to help me on this problem without seeing the graph in the book, but if anyone wants to try, i would really appreciate it.

I am shown the graph of f(x), the tangent line throught the point (a, f(a) ), and a line that intersects the graph at (a, f(a) ). Find a, f(a), and the slope of the curve at (a,f(a) ).
The equation for the tangent line is y=(1/4)x + 1
The equation for the intersecting line is y=(1/2)x

If anyone can even give me a general idea on how to set this up, that might help.

 

[tkhunny]

So, you're saying both the tangent line and the intersecting line meet at (a,f(a))?

Try solving for a:

(1/4)a + 1 = (1/2)a

...and see where that leads you.