A line passes through #(6 ,2 )# and #(3 ,4 )#. A second line passes through #(7 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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Answer 1 · 2017-09-30T19:14:27

Some points can be #(1,12), (4,10), and (7,8)#

Slope of line between #(6,2)# and #(3,4)# = #(2-4)/(6-3) = -2/3#

If a line has to pass through a point given the slope, we can use point-slope equation:

#y-y_1=slope(x-x_1)#

#y-8=-2/3(x-7)#

#y=-2/3x+38/3#

Other points this can go through is #(1,12), (4,10), and (7,8)#