A line passes through #(5 ,9 )# and #(8 ,3 )#. A second line passes through #(3 ,1 )#. 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 · 2018-04-06T11:57:30

One other point on the second line is #(0,7)#

#"Equation of line 1 is " (y - 9) / (3-9) = (x - 5) / (8 - 5)#

#(y - 9) / cancel(-6)^color(red)(-2) = (x - 5) / cancel3#

#y - 9 = -2x + 10#

#y = -2x + 19, " where -2 is the slope#

Since the lines are parallel, their slopes will be equal .

#:. "Equation of "2^(nd) " line is " y - 1 = m * (x - 3)#

#y - 1 = -2 (x - 3)#

#y = -2x + 7#

When #x = 0, y = 7#

Hence one other point is #(0,7)#