Question 583549
PARALLEL							
							
							
4    	x	+		y  	=	2	
Find the slope of this line							
make y the subject							
	y  	=	-4    	x	+	2	
 	
Compare this equation with y=mx+b							
slope m =	-4    						
The slope of a line parallel to the above line will be the same							
The slope of the required line will be			-4    				
m=	-4    	,point	(	5	,	4	)
Find b by plugging the values of m & the point in							
y=mx+b							
4	=	-20      	+	b			
b=	24						
m=	-4    						
Plug value of  the slope  and b	in y = mx +b		
The required equation is y=-4x	+24     

PERPENDICULAR

4      	x	+	y  	=	2				
Find the slope of this line										
										
y  	=	-4      	x	+	2    				
				
Compare this equation with y=mx+b,
m= slope & b= y intercept					
slope m =	-4    									
										
The slope of a line perpendicular to the above line will be the negative reciprocal= 1/4
m1*m2=-1										
										
m=	 1/4	,point	(	5	,	4	)			
Find b by plugging the values of m & the point in										
y=mx+b										
4	=	5/ 4	+	b						
b=	11/4									
m=	 1/4									
The required equation is y  	=  1/ 4	x+11/ 4			
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