Write an equation for the line of the given point and perpendicular to the given line. Please help

(5,-4);2x+9y=4

Since the new line is perpendicular to 2x+9y = 4

the new line must look like

9x - 2y = c, where c is some constant
But (5,-4) lies on this new line, no
45 + 8 = c = 53

new line:
9x - 2y = 53

all done!
change to y = mx + b form if need be.