Question 799967
2    	x	 	-3	y  	=	7	
Find the slope of this line							
make y the subject							
-3	y  	=	-2    	x	+	7	
Divide by	-3						
	y  	=	 2/3	x		-2 1/3	
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  	=	 2/3	x	+	11/ 3
							
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