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Find the equations of the lines and plot the lines from Exercise $47$.

$x=1$

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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Find the equations of the …

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Finding Equations of Lines…

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? Finding Equations of Lin…

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Find an equation of the li…

for this problem. We want to find the equation of the line, described an exercise 47 and then actually graph that line. So if you go back to 47 we were given two points one negative, too, and one negative. 1.4. And we found the slope to be undefined. That's what we found in exercise number 47. So let's take this information and write the equation of a line typically the easiest way to right this equation. So then plot. It would be to do our slope intercept for Why equals m X plus B. But the problem here is that my slope isn't zero. The slope is undefined, an undefined slope. We would not use our slope intercept form. An undefined slope means I have rise, but I have no run. That denominator for my slope is zero. So that's a vertical line. Vertical lines we always right is X equals a constant. And if you look at the two points we've been given, they share a common X coordinate. So that is X equals one. So let's plot that over on our grid. I come over to one on my X axis and since there's no why in my, um in my equation, I could pick any Why value I want the X will always be one. So I could plot one negative two, which is one of the points I've been given. One negative 1.4. I could do some positive numbers as long as I leave my ex value as one. Why could be whatever I want it to be, so that's going to give me a vertical line through X equals one.

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