Answer: y=(-5/3)x+8
Step-by-step explanation: earrange 5x+3y=6 in slope intercept form
y=mx=b
5x+3y=6
3y=6-5x
y=2-(5x)/3
then slope for a line parallel is -5/3
Use point slope form y-y1=m(x-x1)
plug un values of (x,y) = (6,-2)
and m=-5/3
y-y1=m(x-x1)
y-(-2)=(-5/3)(x-6)
y+2=(-5/3)x+10
y=(-5/3)x+10-2
y=(-5/3)x+8 <-- solution