Finding equation for the tangent

[Bugsy]

I've got this question in my textbook:

Find an equation for the tangent to the curve y=(4x-1)/(3x-2) in the point y=1. So I assume you start by finding the derivative, but if they give no value for x, where do you go from there? All the examples of these sorts of questions I've seen give you a point like (3,2), for example, so you always have a value for x, but not in this example. Would really appreciate any help here

 

[daon2]

I've got this question in my textbook:

Find an equation for the tangent to the curve y=(4x-1)/(3x-2) in the point y=1. So I assume you start by finding the derivative, but if they give no value for x, where do you go from there? All the examples of these sorts of questions I've seen give you a point like (3,2), for example, so you always have a value for x, but not in this example. Would really appreciate any help here

You can solve for x in the original given equation, then plug in your value for y.

 

[Deleted member 4993]

I've got this question in my textbook:

Find an equation for the tangent to the curve y=(4x-1)/(3x-2) in the point y=1. So I assume you start by finding the derivative, but if they give no value for x, where do you go from there? All the examples of these sorts of questions I've seen give you a point like (3,2), for example, so you always have a value for x, but not in this example. Would really appreciate any help here

1 = (4x-1)/(3x-2) → x = ??