A line passes through #(3 ,2 )# and #(5 ,3 )#. A second line passes through #(7 ,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 · 2018-06-23T04:21:13

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

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

As #2^(nd)# line is parallel to the first line, slope of second line also #1/2#

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

#(y - 6) = 1/2 * (x - 7)#

#x - 2y = -5#

Let y = 0. Then x = -5#

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