Question

How do you find the equation of the line tangent to `f(x)=1/2x + 4`, at (2,5)?

Answer 1

`y=1/2x+4`

Explanation:

As this is a linear equation, tangent lines along any point on the curve is the curve itself, because the slope of the curve is constant. Therefore, at (2,5), its tangent is equal to the tangent of the function, i.e. `1/2`, and the equation of the tangent line is equal to the function, i.e. `y=1/2x+4`