Question

How do you find the equation of the line tangent to `y=3x-4` at (1,-1)?

Answer 1

`y=3x-4`

Explanation:

First you need to find the gradient of the tangent line:

Differentiate `3x-4`

`d/dx(3x-4)=3`

`:.`

`y-(-1)=3(x-1)`

`y=3x-4`