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Plot the lines found in Exercise $5$.

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Oregon State University

Harvey Mudd College

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 plot the line that we found back and exercise number five. Now, that equation is why equals 1/4 ex plus three. Now, if you're not sure where that equation came from, go back and look at the back of exercise. Five. Make sure you understand where we got it from, then come back here and we applaud together. So what we've been given is it equation in slope intercept form Y equals MX plus B m is my slope. So in this case, that means I have a slope of 1/4 B is the y intercept. So in this case, I have a Y intercept of three. Now, the biggest question when we're drawing replying outta line is Where do you start? And where we start is a point in this case, I know the Y intercept. That's a great place to start. So my y intercept happens at the 0.3 on my my grid here. Now I'll use this slope to find other points that I can connect to make my line. So let's go back and review slope. Remember, Slope is rise overrun. Another way to think about that rise. Is the change in why? How much I'm changing going up and down over the change in X. That's my change going from side to side. So in this case, rise overrun equals 1/4. Okay, this is a positive slope. That means that as I go from left to right, my lines should be increasing. So let's start at our 0.3 and plot in a few more points. My rise is one to go over four units. My slope is 1/4. Again. I go up one and over four. You can see those points for making a nice line. I could also put some points on the other side. If I wanted to, I could go down and over. 1234 this direction as well. Okay, so we now want to connect our points. I would encourage you to use a ruler of using paper and pencil. It just makes for a much leader line is much straighter, much easier to see what you're doing. So this is our line that has our Y intercept of three a slope of 1/4 and that is a positive slope as we expect it

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