Question 546454
2      	x	+	5	y  	=	7				
Find the slope of this line 										
										
5	y  	=	-2      	x	+	7				
Divide by 	5									
	y  	=	-  2/ 5	x	+	1.4				
Compare this equation with y=mx+b,					m= slope & b= y intercept					
slope m =	- 2/5									
										
The slope of a line perpendicular to the above line will be the negative reciprocal										2.5
m1*m2=-1										
The slope of the required line will be 			2 1/2							
										
m=	5/2	,point	(	3	,	7	)			
Find b by plugging the values of m & the point in										
y=mx+b										
7	=	7.50	+	b						
b=	-1/2									
m=	5/2									
The required equation is y =	5/ 2x-  1/ 2

PARALLEL

2	x	+	5	y  	=	7		
Find the slope of this line 								
make y the subject								
5	y  	=	-2	x	+	7		
Divide by 	5							
	y  	=	- 2/5	x	+	1.4		
Compare this equation with y=mx+b								
slope m =	- 2/5							
The slope of a line parallel to the above line will be the same								
The slope of the required line will be 			- 2/5					
m=	- 2/5	,point	(	3	,	7	)	
Find b by plugging the values of m & the point in								
y=mx+b								
7	=	-6/ 5	+	b				
b=	41/5							
m=	- 2/5							
Plug value of  the slope  and b	in y = mx +b			
The required equation is=> y  	=	- 2/5	x	+	41/ 5	
		y  	=	-  2/ 5	x	+	41/ 5	
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