A line passes through #(6 ,2 )# and #(5 ,7 )#. A second line passes through #(1 ,7 )#. 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 · 2018-06-23T06:28:03

#color(green)("One other point on the second line is " (2,2)#

#"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (7-2) / (5-6) = -5#

As #2^(nd)# line is parallel to the first line, slope of second line also #-5#

#"Equation of second line in point - slope form is "

#(y - 7) = -5 * (x - 1)#

#5x + y = 12#

Let y = 2. Then x = 2#

#color(green)("One other point on the second line is " (2,2)#