A line passes through #(5 ,9 )# and #(8 ,3 )#. A second line passes through #(2 ,6 )#. 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 · 2018-06-23T04:24:13

#color(cyan)("One other point on the second line is " (2-5, 0)#

#"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (3-9) / (8-5) = -2#

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

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

#(y - 6) = -2 * (x - 2)#

#2x + y = 4#

Let x = 2. Then y = 0#

#color(cyan)("One other point on the second line is " (2, 0)#