Question 800861
PERPENDICULAR TO A LINE										
										
										
										
-1      	x	+	2	y  	=	6				
Find the slope of this line										                                                                                                            
										
2	y  	=	1      	x	+	6    				
Divide by	2									
	y  	=	  1/ 2	x	+	3    				
Compare this equation with y=mx+b,					m= slope & b= y intercept					
slope m =	 1/2									
										
The slope of a line perpendicular to the above line will be the negative reciprocal										-2    
Because m1*m2 =-1										
The slope of the required line will be			-2    							
										
m=	-2    	,point	(	1	,	-6	)			
Find b by plugging the values of m & the point in										
y=mx+b										
-6	=	-2      	+	b						
b=	-4    									
m=	-2    									
The required equation is		y  	=	-2      	x	+	-4      			
m.ananth@hotmail.ca										
PARALLEL										
										
										
-1    	x	 	2	y  	=	6				
Find the slope of this line										
make y the subject										
2	y  	=	1    	x	+	6				
Divide by	2									
	y  	=	 1/2	x	+	3    				
Compare this equation with y=mx+b										
slope m =	 1/2									
The slope of a line parallel to the above line will be the same										
The slope of the required line will be			 1/2							
m=	 1/2	,point	(	1      	,	-6	)			
Find b by plugging the values of m & the point in										
y=mx+b										
-6	=	  1/ 2	+	b						
b=	-6.5	
m=	 1/2								
Plug value of  the slope  and b	in y = mx +b					
The required equation is		y  	=	 1/2	x		-6.5			
										
m.ananth@hotmail.ca