Question 633933
(0,1)

y coordinate =1



-2    	x	+	3	y  	=	6	
Find the slope of this line							
make y the subject							
3	y  	=	2    	x	+	6	
Divide by	3						
	y  	=	 2/3	x	+	2    	
Compare this equation with y=mx+b							
slope m =	 2/3						
The slope of a line parallel to the above line will be the same							
The slope of the required line will be			 2/3				
m=	 2/3	,point	(	1	,	-3	)
Find b by plugging the values of m & the point in							
y=mx+b							
-3	=	  2/ 3	+	b			
b=	-11/3						
m=	 2/3						
Plug value of  the slope  and b	in y = mx +b		
The required equation is y 	= 2/3x-11/ 3

multiply equation by 3
3y=2x-11

2x-3y=11


							
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