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

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.

#### Explanation:

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 $\left(0 , 0\right)$.

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

$y = m \left(x - 8\right) + 5$

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 :)