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

Question

1335 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-01T08:57:36

Coordinates of the other point in the second line can have values

#(4,9), (12,7), (24,4) # and so on resulting in slope #m = -1/4#

Slope of a line is given by the formula #m = (y_2 - y_1) / (x_2 - x_1)#

For two lines to be parallel, their slopes must be equal.

Slope of first line # m = (3-4) / (7-3) = -1/4#

hence slope slope of second line is also # m = -1/4#

#:. m = -1/4 = (y_2 - 8) / (x_2 - 8)#

Coordinates of the other point in the second line can have values

#(4,9), (12,7), (24,4) # and so on.