Answer:
9x - 4y = 55
Explanation:
The equation for the perpendicular line can be written by swapping the x- and y-coefficients and negating one of them. Usually we choose to negate the one that makes the x-coefficient positive. Here, that process gives ...
9x - 4y = <some constant>
The value of the constant can be found by putting the (x, y) values of the given point into the left-side expression:
9x - 4y = 9·7 -4·2 = 55
9x - 47 = 55