# Find the Equation of the Tangent Line to Parabola

__Example__**: **Find the equation of the tangent to the parabola parallel to the line .

__Solution__**:** The given equation of a parabola can be written in the form:

Compare this equation of a parabola with the general equation of a parabola .

After comparing with the standard equation of a parabola we have

Now to find the slope of a given line we use

The required equation of the tangent to the parabola is given as

This is the equation of the tangent to the parabola.