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?

Question

1236 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-14T13:55:53

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

enter image source here

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.