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For income tax purposes, the owner of Copy Services uses a method called straight-line depreciation to show the loss in value of a copy machine he recently purchased. He assumes that he can use the machine for 7 years. The following graph shows the valueof the machine over the years. Use this graph to answer Exercises89 through 94.On the same set of axes, graph $y=2 x, y=2 x-5,$ and $y=2 x+5 .$ What patterns do you see in these graphs?

green straight line $=2 x+5$ blue straight line $=2 x$ prange straight line $=2 x-5$

Algebra

Chapter 3

Graphs and Functions

Section 1

Graphing Equations

Functions

Missouri State University

Baylor University

Idaho State University

Lectures

01:43

In mathematics, a function…

03:18

03:59

For income tax purposes, t…

02:04

01:29

01:09

01:40

01:14

01:30

02:58

BusiNESS-DEPRECIATION A c…

04:11

Straight-line Depreciation…

04:47

(Modeling) In Exercises $5…

00:49

Use the given line graphs …

05:32

Straight-Line Depreciation…

00:43

The graph at the right sho…

02:37

03:14

The table below shows the …

02:42

A company has a choice of …

02:07

Use the spreadsheet at the…

03:19

For Exercises 83 through $…

01:56

Examine the straight line …

04:13

The following table gives …

in this problem were asked a graph. Three different lines on the same plane and we're going to look for any patterns were gonna graph y equals two x y equals two X minus five and y equals two x plus five. So let's start with the first. When we're just gonna use for this, we're gonna use three points for X on. All of them were going to use the same three points for all three. So we're gonna do X is negative. One x zero and X is positive one. So we'll have. Why equals two times negative one and two times negative. One is negative. Two. Why equals two tubs zero and two times zero is zero, and why equals two times one and two times one is two. So let's go ahead and graft those three points. So we have negative one negative too. 00 and we have one. See? So let's go ahead and less Connect those two points. Three points. I'm sorry, and there's our line. Now let's do y equals two x minus five and again, we're going to use the same points for X and y we're gonna use negative one zero and one. So first we're gonna have y equals two times. Negative. One modest five. So we'll have negative two minus five, which is negative. Seven. We'll have why. Equals two times zero minus five, Which will be to I'm sorry. Zero minus five, which will be native five. And finally, we're gonna have y equals two times one minus five. So to minus five is negative. Three. So our first point is negative. One negative seven. Which is going to be about right here. Mokena. Negative seven Right there. Zero negative. Five and one negative three. So I'm gonna go ahead and graft these points. So there's our second long, and our third line is y equals two x plus five. And again, we're going to use the same points for X and Y. So we're gonna use negative 10 and one, so we'll have y equals two times negative one plus five. So have negative two plus five, which is positive. Three. Why equals two times zero plus five, two times zero is zero plus five is five. And then finally we have why equals two times one plus five, which is two plus five is seven. So our points are negative. One positive three zero positive FAF and one seven be approximately right up here. So my line would be right here. So we're looking for patterns. And one thing I noticed is that all three lines are going the same way. And a word for when they go the same way is parallel Lantz. So the pattern weeks notice is that all three lawns are parallel.

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