A line passes through #(6 ,2 )# and #(1 ,3 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer
sophie
Apr 25, 2018

The second line could pass through point #(2,5)#.

Explanation:

I find the easiest way to solve problems using points on a graph is to, well, graph it out.

geogebra.org

As you can see above, I've graphed the three points — #(6,2),(1,3),(7,4)#— and labelled them #"A"#, #"B"#, and #"C"# respectively. I've also drawn a line through #"A"# and #"B"#.

The next step is to draw a perpendicular line that runs through #"C"#.

geogebra.org

Here I've made another point, #"D"#, at #(2,5)#. You can also move point #"D"# across the line to find other points.

The program I use is called Geogebra, you can find it here, and it's fairly straightforward to use.

Related questions
See all questions in Equations of Parallel and Perpendicular Lines
Impact of this question
1999 views around the world
You can reuse this answer
Creative Commons License