K(x)=4x-1 intercepts the line g(x)=2x+5

4x-1 intercepts the line 2x+5

And I assume you want to find the intersection point???

Let's just set these two equations equal...so we have

4x - 1 = 2x + 5     subtract 2x from both sides and add 1 to both sides

2x = 6                  divide each side by 2

x = 3

And to find y, just plug this value into either equation...I'l use the first

4(3) - 1 = 11

So the soution is (3, 11)