Answer:
5x +6y -90 = 0
Explanation:
The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant will be chosen so the equation is satisfied at the given point.
5x +6y = 5(6) +6(10) = 90
The equation of the perpendicular line in general form is ...
5x +6y -90 = 0