A line passes through #(1 ,5 )# and #(8 ,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?

Question

1267 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-23T06:31:29

#color(green)("One other point on the second line is " (21,2)#

#"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (3-5) / (8-1) = -2/7#

As #2^(nd)# line is parallel to the first line, slope of second line also #-2/7#

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

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

#7y - 42 = -2x + 14#

#2x + 7y = 56#

Let y = 2. Then x = 21#

#color(green)("One other point on the second line is " (21,2)#