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Plot the lines found in Exercise $2$.

Algebra

Chapter 1

Functions and their Applications

Section 1

The Line

Functions

Missouri State University

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

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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Plot the lines found in Ex…

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Plot the fraction on the n…

for this problem. We've been asked to plot Thea equation that we got an example. Number two and that equation was Why equals negative three X. If you're not sure where this equation came from, go back and look at the exercise. Number two problem then come back here and we can show you how to graph it. And now we've been given this equation in slope intercept form The slope intercept form means that the coefficient of my ex term is my slope. And the constant term is my Why intercept now, In this case, I don't have a Y intercept so I can put in a mental plus zero. That means my constant there is zero now, one of the biggest things when you're drafting something is knowing where to start. We start with the Y intercept in this case, the Y intercept zero, which means that I'm gonna go right through the origin 00 So I'm gonna plot that point that's in green there on my graph. Now, from that point, I can plot other points by knowing the slope. So let's review Slope is going to be rise over, run. Another way to think of that is your change in why over your change in X Okay, now are slope here is negative three. And if I want to write that, it's a fraction to have a rise and a run I can write. That is negative. 3/1. Ah, common mistake that people sometimes make is they go. There's no run, There's no denominator, but it's really a one. So sometimes by writing that you could just see that a little clearer. I have a negative slope, which means I know that I'm gonna be going down is I go from left to right. My my line will be going downward. So let's start at the point we know 00 and drawing some new points. So my rises negative three. So that's a drop of three. And then I go over one a drop of three, and I go over one. Personally. I like to draw in several points. I think that just makes a little bit easier to draw my line. You really, technically only need two, but three or four or even mawr just helps me make my line much, much straighter. I can also put some dots on this side as well. Again. In between each of these points, there is a drop of three and a run of one. And when I goto connect these points Okay, this will be much straighter if I was on a paper with a pencil with a ruler. But there's my line. It is going downward like I expected it. It goes through the intercept when y zero with a slope of negative 3/1.

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