A line passes through #(2 ,8 )# and #( 1, 5 )#. A second line passes through #( 6, 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer
sankarankalyanam
Jun 23, 2018

#color(violet)("One other point on the second line is " (7,4)#

Explanation:

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

![http://www.kshitij-iitjee.com/Maths/Straight-Lines/http://distance-of-a-point-from-a-line.aspx](https://useruploads.socratic.org/XB6yBdzQPmqtsBBiFyBu_parallel-lines.png)

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

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

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

#3x - y = 17#

Let y = 4. Then x = 7#

#color(violet)("One other point on the second line is " (7,4)#

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