# Thread: slope question - finding when a line is tangent to a curve

1. ## slope question - finding when a line is tangent to a curve

can anyone answer the question on the pic.....

2. Originally Posted by Sneaky
can anyone answer the question on the pic.....
Solve the following two equations simultaneously for $c$:

$\frac{c}{2 \sqrt{x}} = \frac{1}{2}$ .... (1)

$c \sqrt{x} = \frac{1}{2} x + \frac{9}{2}$ .... (2)

(Your other job, apart from solving these two equations, is to think about where they have come from).