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Question 455987:  write the slope-intercept equation for the line that passes through (-5,-8) and is perpendicular to 10x-6y=-11 
 Answer by mananth(16946)      (Show Source): 
You can  put this solution on YOUR website! passes through (-5,-8) and is perpendicular to 10x-6y=-11
 
10x-6y=-11				 
Find the slope of this line 						-6 
y  	=	-10x-11				 
Divide by 	-6									 
y=5/3	x+1.83				 
Compare this equation with y=mx+b										 
slope m =5/3									 
										 
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 -0.60			-0.6			 
										 
m=	- 3/5	,point	(	-5	,	-8	)			 
Find b by plugging the values of m & the point in										 
y=mx+b										 
-8	=	3.00	+	b						 
b=	-11									 
m=	- 3/5									 
The required equation is	y=- 3/5	x-11      			 
m.ananth@hotmail.ca										 
 
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