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?

Question

1928 views around the world

You can reuse this answer
Creative Commons License

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)#