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Find the equations of the lines and plot the lines from Exercise $50$.

$y=4$

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Harvey Mudd College

Baylor 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 an Equation of a L…

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this problem is referencing the information that we saw back in exercise number 50 as a reminder and exercise 50. We were given two points the 20.14 and the 0.24 And in that exercise we found the slope of the line between them, which was zero. So now our goal for this problem is to find the equation of the line that these points and slope describe and then to plot it on our grid. So because we have a point and the slope, we're not going to use the slope intercept form because I don't have the intercept. But I have actually, I have two points to choose from. So I'm going to use the point slope form of a line. It's why minus why one equals m times X minus X one. So x one Y one is a point on the line, and I could pick either one of these points. They will both work. Um, it truly doesn't matter which one you picked as long as the points on the line it will work. And my slope? Well, this case, we already found our slope equals zero. So let's plug in our values. Why Minus again. It doesn't matter which point. I'm going to pick the first point just because it's first doesn't really matter which one. So why minus four? My slope is zero times X minus it X coordinate, which is one while this case zero times anything is zero. So this whole term on the right hand side equals zero. So what I really have is why equals four. So there's my equation. A zero slope is a horizontal line. So if I come over to graph this, why equals four? I'm going to find four there on my Y axis, and this is a horizontal line number. There's no X in this equation, which means it doesn't matter what the X coordinate is. It could be 1 to 10 negative a million. It doesn't matter. All we care about is that the Y coordinate is always going to equal four. So that gives us our horizontal line. So that's the graph off our equation. Why equals four

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