Answer:
Step-by-step explanation:
If it is parallel with the line 2x-3y=9
Both of them have same slope so
2x-3y=9 turn this into slope intercept form first
-3y=9-2x
Y=9/-3 + -2x/-3
Y=2/3x - 3 the slope of this equation is ⅔
So our new equation will be
Y=⅔x +b
Since (6,7)
On the line
6=⅔(7)+b
b= 6-14/3=4/3
Y=⅔x+4/3 (slope intercept form)
3y-2x=4 ( general equation of line )