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

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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]( useruploads.socratic.org )