A line passes through #(2 ,8 )# and #(7 ,9 )#. A second line passes through #(3 ,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 · 2018-06-23T06:43:48

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

#"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (9-8) / (47-2) = 1/5#

As #2^(nd)# line is parallel to the first line, slope of second line also #1/5#

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

#(y - 6) = 1/5 * (x - 3)#

#5y - 30 = x - 3#

#x - 5y = -27#

Let y = 5. Then x = -2#

graph{x/5 + 27/5 [-10, 10, -5, 5]}

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