How do you find a standard form equation for the line passing through (4,-1) and (4,5)?

Question

3119 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-27T00:38:36

The line is $x=4$ .

Use the slope formula and plug in our points $(4,-1)$ and $(4,5)$ :

$color(white)=>m=(y_2-y_1)/(x_2-x_1)$

$=>m=(5-(-1))/(4-4)$

$color(white)(=>m)=(5+1)/0$

$color(white)(=>m)=6/0$

$color(white)(=>m)="undefined"$

This slope of the line is undefined, which means it is vertical. This means that the line will be $x=...$ instead of $y=...$ .

Since we already know the $x$ -values of the points we have, we know that the line will be $x=4$ .

Here's the graph:

https://www.desmos.com/calculator