Question 1178031

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=(y2−y1)/(x2−x1.)

We have that x1=6, y1=3, x2=4, y2=7.

Plug the given values into the formula for slope: m=((7)−(3))/((4)−(6))=4/−2

=−2.

PQ || AB

slope of AB = -2

Find equation knowing slope and point

m=		-2      					
							
Plug value of  the slope  and point			(	3	,	1	) in
Y	=	m	x	+	b		
1.00	=	-6    	+	b			
b=	1.00	-	-6    				
b=	7      						
So the equation  will be							
Y 	=	-2    	x	+	7