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Plot the lines found in Exercise $17$.

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

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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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Plot the lines found in Ex…

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Find the equations of the …

for this problem. We've been asked to graph the equation that we obtained an exercise number 17. If you need to go back and look at exercise 17 to see what the equation is, we're talking about where we got it from. Go ahead and pause this video. Take a look at 17 and then come back. Okay, Exercise 17. We ended up with the equation. Why equals negative six? Now, if you read the exercise 17, we know that this is a horizontal line, but let's say we didn't actually know that all we had was the equation. How could we tell that this was a horizontal line without explicitly being told that? Well, typically, when we get an equation for a line, it is in the form we could put it into the form of slope intercept. Why equals M X plus B, where we have a Y and an X, and we see how they relate. Well, if we have just why with no X or just X with no why those air are horizontal and vertical lives. So let's see what this gives us. Why equals negative six. That means I have a Y intercept at 12345 at negative six. I'm gonna put a dot right there. Okay? So because it doesn't matter what exes, any X I pick the Y coordinate is going to be negative. Six. So if x zero, that's my Y intercept, why is negative six? What if X is one? Why is still going to be negative? Six affects is too if X is three. If X is 45678 What effects is negative? I mean, negative four or negative seven. The why is always going to stay negative. Six. Which means when I connect those dots, that is a horizontal line. So this equation has a slope off zero. Remember, I could I could rewrite this as zero X minus six. That's a slope of zero, which is another way of talking about a horizontal line. It has a slope of zero, but if you have a hard time remembering which ones are horizontal, which one's a vertical? Just go ahead and plot a few points like I did here. As you can see as I go through, you know, I have my y intercept, and as I plod a few other points, it's very easy to tell from those dots that this is indeed ah, horizontal line

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