The correct answer and the question is shown below: 
Why the slope of k is always greater than 1 whereas as I determined the slope (3,4) by $$\tan x = \frac{4}{3}$$ which is greater than 1. It seems that k slope is more steep than (3,4) so the slope of k would be more than 1 i think . Where have I done wrong?
The slope of the line through $(3,4)$ is $\frac 43$. You don't need the tangent unless you want the actual angle. But you are correct that the slope of the line drawn is greater than that and therefore greater than $1$. What makes you think you are wrong?