A line passes through (4 ,3 ) and (6 ,1 ). A second line passes through (7 ,6 ). What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer
Deepak G.
Aug 9, 2016

=(9,4)

Explanation:

Parallel lines have equal slopes
Slope of the line that passes through (4,3) and (6,1) is
=(1-3)/(6-4)
=-2/2
=-1
Let second line pass through the points(7,6) and (x,y)
If the second line is parallel its slope =-1
That means for every 1 rise in x there is 1 fall in y
Therefore (x,y)=(7+2) , (6-2)=(9,4)

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