Write an equation for a line that passess through the point (8,5)?

1 Answer
Oct 29, 2017

There are infinitely many lines that pass through that point (one example: #y = x-3#).

Check out this interactive graph for an idea of what this would look like.


There are infinitely many lines that could pass through a given point. For example, consider the diagram below:


All of those lines pass through the point #(0, 0)#.

Why? Well, let's set up a point-slope equation for a line going through #(8,5)#:

#y = m(x-8)+5#

For each different value of #m# you plug in, you will get a different equation for your line.

To get a better idea of how this works, check out this interactive graph I created. Slide the slider to pick random values for #m#, and see how your line changes!

Hope that helps :)