Convert to slope intercept form to find the slope of the given line:-
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2 The slope = 2/3
Now we find the required equation using the point-slope form
y - y1 = m(x - x1)
m = slope = 2/3 and (x1. y1) = (9, -3):-
y - (-3) = 2/3 (x - 9)
y = 2/3x - 6 - 3
y = 2/3x - 9
In standard form this is
2x - 3y = 27 answer
Hope this helps.
