A line passes through #(6 ,4 )# and #(9 ,0 )#. A second line passes through #(3 ,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 · 2018-06-23T04:30:25

#color(green)("One other point on the second line is " (6, 0)#

#"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (0-4) / (9-6) = -4/3#

As #2^(nd)# line is parallel to the first line, slope of second line also #-4/3#

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

#(y - 4) = -4/3 * (x - 3)#

#3y - 12 = -4x + 12#

#4x + 3y = 24#

Let y = 0. Then x = 6#

#color(green)("One other point on the second line is " (6, 0)#