Question 515136
1	y  	=	4	x		-6		
Divide by 	1							
	y  	=	4	x		-6		
Compare this equation with y=mx+b								
slope m =	4			0.8				
		
m=	4	,point	(	0	,	6	)	
Find b by plugging the values of m & the point in								
y=mx+b								
6	=	0.00	+	b				
b=	6							
m=	4							
Plug value of  the slope  and b	in y = mx +b			
The required equation is
		y  	=	4	x	+	6	
		
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3	x		-2	y  	=	8	
Find the slope of this line 							
							
-2	y  	=	-3	x	+	8	
Divide by 	-2						
	y  	=	3/2	x		-4	
Compare this equation with y=mx+b							
slope m =	3/2						
							
The slope of a line perpendicular to the above line will be the negative reciprocal							
m1*m2=-1							
The slope of the required line will be 			-2/3				
							
m=	- 2/3	,point	(	-2	,	3	)
Find b by plugging the values of m & the point in							
y=mx+b							
3	=	1.33	+	b			
b=	1.67						
m=	- 2/3						
The required equation is		y  	=-  2/ 3x+5/ 3

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has the same x intercept as y = -2x + 4 and the same y intercept as
7x - 4y = -3

y = -2x + 4 
for x intercept plug y=0
x intercept = 2 
(2,0) is the intersection point
7x - 4y = -3
For y intercept plug x=0
-4y=-3
y=3/4
(0,3/4) is the y intercept point

The line passes through (2,0) & (0,3/4)
x1		y1	x2	y2				
2		0	0	0.75				
								
slope m =		(y2-y1)/(x2-x1)						
(	0.75	-	0	)/(	0	-	2	) 
(	0.75	/	-2	)  				
m=		-  3/ 8						 
								
Plug value of  the slope  and point 			(	2	,	0	) in	
Y 	=	m	x 	+	b			
0.00	=	- 3/4	+	b				
b=	0	-	- 3/4					
b=	  3/ 4							
So the equation  will be								
Y 	=	- 3/8	x 	+	 3/4			


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