A line passes through #(6 ,2 )# and #(1 ,3 )#. A second line passes through #(1 , 4 )#. 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 · 2018-05-19T08:41:15

One other point that satisfies the second equation is #(11,2)#

Slope of first line #m = (y_2-y_1) / (x_2 - x_1)#

#m = (3-2)/(1-6) = -1/5#

Since both the lines are parallel, slopes are equal.

Therefore slope of second line is also #= m = -(1/5)#

Equation of second line is

#y - 4 = -(1/5) (x-1)#

#x + 5y = 21#

For #y = 2, x = 11#