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Find equation for the given line.A vertical line passing through 4$ (12,2).$

$x=12$

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Campbell University

Oregon State University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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for this problem. We want to find the equation of a vertical line that goes through the 0.12 to Well, what does that kind of a line look like? Let's take a step back and do a quick sketch. This is not perfect. I'm not trying to get numbers or anything off of this. I just kind of want to visualize what we have. Visualizing these kinds of problems is often does a long way toe actually solving them. So what I have is a point. I have the 0.0.12 to We'll say that's over here somewhere over 12, up to. And I want a vertical line. So vertical line goes up and down. There's my rough picture of my line. Well, a vertical line is can be written as X equals a number, and that number is going to be the x coordinate of the point that were given. So in this case, that would be X equals 12. Well, why is that? Why is it X equals and not why equals? Well, think about points that is gonna be on this line to get onto this green line. I always have to start by going over 12 x equals 12. I could say I could say zero. So why could be zero when X is 12? I say excess 12. And why is four excess 12 y is 10 Xs 12 wise Negative six. But no matter what, I've got to start by going over 12 on the X axis before I go up and down. So this line has a as an equation of X equals 12.

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