A line passes through #(6 ,2 )# and #(5 ,7 )#. A second line passes through #(1 ,7 )#. 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(green)("One other point on the second line is " (2,2)#

Explanation:

#"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (7-2) / (5-6) = -5#

![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 #-5#

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

#(y - 7) = -5 * (x - 1)#

#5x + y = 12#

Let y = 2. Then x = 2#

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

Related questions
See all questions in Equations of Parallel and Perpendicular Lines
Impact of this question
1925 views around the world
You can reuse this answer
Creative Commons License