Find the point on the curve `y^2dot`= `8xdot` for which the abscissa and ordinate change at the same rate.

Explanation

To find the point on the curve \( y^2 = 8x \) where the abscissa (x-coordinate) and ordinate (y-coordinate) change at the same rate, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find the point on the curve \( y^2 = 8x \) such that the rates of change of x and y with respect to time (denoted as \( \frac{dx}{dt} \) and \( \frac{dy}{dt} \)) are equal.

2. **Set Up the Relationship**: Since it is given that the abscissa and ordinate change at the same rate, we can write:
\[
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