A line passes through #(1 ,4 )# and #(7 ,4 )#. A second line passes through #(8 ,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 · 2018-01-14T13:55:53

One other point is (2,1) passing through point (8,1) and parallel to the first line.

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Parallel lines have same slope

Slope of first line #m_f = (4-4) / (7-6) = 0#

Equation of second line passing through point (8,1) and parallel to first line is

#y - 1 = 0 * (x - 8) = 0#

Therefore #y = 1# is the equation.

‘For #x = 2#, y will remain as 1.

One other point is (2,1) passing through point (8,1) and parallel to the first line.