If the line `y=m x+1` is tangent to the parabola `y^2=4x ,` then find the value of `mdot`

Explanation

To find the value of \( m \) such that the line \( y = mx + 1 \) is tangent to the parabola \( y^2 = 4x \), we can follow these steps:

### Step 1: Substitute the line equation into the parabola equation
We start by substituting \( y = mx + 1 \) into the parabola equation \( y^2 = 4x \).

\[ (mx + 1)^2 = 4x \]
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