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Plot the lines found in Exercise $10$.

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Campbell University

McMaster University

Lectures

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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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for this problem. We've been asked to graft the equation that we obtained an exercise number 10. If you go back to exercise 10, you'll see that the equation we have is why equals negative 19 4th. If you're not sure where that equation came from, go back. Take a pause from this video. Go back. Look at exercise 10. Um, make sure you understand it. Then come back here to see how we plot it. Okay? Typically, when we're going to plot a line on a graph, we want to put it into slope intercept form Y equals M X plus B, where we have a Y and and X that allows us to find the slope M and the intercept be in this days case, though I don't have an ex term. Okay. Which means that that slope is zero. So I could rewrite my equation and put in a zero slope. Okay, So that means in this case, my slope is zero and a zero slope is going to be a horizontal line. My intercept. So my why intercept is negative 19 4th. So if I'm going to go plot this, my Y intercept my y axis will have a intersect of negative 19/4, which is just a little bit less than 512342 down here. Just a little bit bigger than negative five. And I have no slope, so I'm going to draw in my horizontal line. Another way to think of this is if I go back and look at that original equation. I know that it doesn't matter which X I pick, so I could go toe any X along this along my X axis. The Y value of the line at that point will be negative 19 4th. So I just have a string of numbers that have a negative 19 force and that creates my horizontal line. So just the why is a horizontal line. If you have one, that's just an X X equals a constant that would give you a vertical line. So here, horizontal line why equals negative 19 4th

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