Question 550676
2x +3y =7 and having the same 


y-intercept of line 
 5x+ 2y =10
2y=-5x+10
y=(-5/2)x +5
plug x=0
y=5

y intercept (0,5)

2	x	+	3	y  	=	7				
Find the slope of this line 										
										
3	y  	=	-2	x	+	7				
Divide by 	3									
	y  	=	-0.667	x	+	2.33				
Compare this equation with y=mx+b										
slope m =	-0.67									
										
The slope of a line perpendicular to the above line will be the negative reciprocal										1.5
m1*m2=-1										
The slope of the required line will be 	3/2					
										
m=	3/2	,point	(	0	,	5	)			
Find b by plugging the values of m & the point in										
y=mx+b										
5	=	0.00	+	b						
b=	5									
m=	3/2									
The required equation isy  =	3/ 2x	+	5      			
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