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Plot the lines found in Exercise $4$.

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Harvey Mudd College

Idaho State 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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Find the equations of the …

for this problem. We've been asked to graph the equation that we got from exercise number four. And if you go back and look, that equation is why equals one half X plus 1/4. Now, if you're not sure where that number came from, go back and take a look at example Number four or exercise number four. Then come back here. We'll see about how to graph it. Okay, so what we have we have been given an equation which is in slope intercept for that's why equals m X plus B m is our slope. So in this case, I have a slope of one half and my B is 1/4. That's my why intercept. So when you have a problem like this, the biggest thing, um, that people struggle with is where do you begin? Where we need to start is a point. I need to have a reference point on this line, and that reference point is the Y intercept. So I'm gonna come over here and I'm going to say my Y intercept. Is that a quarter? So that is just about here just a little bit above my y act or my X axis. Now where do we go from there? That's that slope. So Slope is rise over. Run. Another way to think about that rise is my change in my Y values run is going sideways. So that's the change in X. So in this case, that change is one half, which I'm going to go up one for every two units I go across. Now it's a positive slope, which means that I'm gonna be going up as I go across from left to right. My lines should be going in an upward direction. So let's count out a couple more points. I'm gonna rise one and come over to so rise one and over to again. Since I was at a quarter wasn't quite on a grid line, I'm still not quite a gridlock. I'm always gonna be just above, So I'm gonna rise one come over to right. It's one come over to you could see as I put those points on. It makes a very nice line, and I can if I want to. I can also come down and go the other way to get a few more points and then I'll connect them if I was doing pencil on paper. I would definitely use a ruler just to make sure that this was a good straight line. But that is theglobe. Half that goes with the equation. Why equals one half X plus 1/4?

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