Answer
No, the given ordered pair is not a solution to the equation.
Work Step by Step
We start with the given equation: $y=7x-5$
We plug in the values for $x$ and $y$ given in the coordinates: $5=7(0)-5$
We simplify the right side of the equation: $5=0-5$
$5=-5$
Since the equation does not check, the ordered pair is not a solution of the equation.