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Determine whether each equation is linear or not. Then graph the equation by finding and plotting ordered pair solutions. See Examples 3 through 7.$$y=4 x-2$$
linear,
Algebra
Chapter 3
Graphs and Functions
Section 1
Graphing Equations
Functions
Campbell University
Oregon State University
Baylor University
Lectures
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In mathematics, a function…
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Determine whether each equ…
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for this problem were given the equation. Why equals four X minus two. And we need to decided This equation is linear are not linear. Now, Lanier means that is gonna form a straight line on a graph. But we can also determine if an equation is linear. If it follows in the same form as a linear equation, which is why equals MX plus big. And I noticed, even though I've got numbers in place of the human, the be I see that my equation follows that same form. So this tells May that it is a linear equation. So now that we know that we can go ahead and we can graph some points on my line are on my graph to create that lot so less use the points Negative one zero positive one and two. So we're gonna put these numbers in place of X in this equation to find what are y iss? So we'll have why equals four times negative one minus two. So that was give me negative four minus two, which is negative. Six. Next we would have why equals four times zero minus two. That would give me zero minus two which is negative. Two. Next I would have why equals four times one minus two. So I would have four minus two, which is to. And then finally I would have y equals four times two minus two more work, this alum Assad. So that would be eight minus two, which would be a positive six. So we're gonna graph these four points so we'll start where exist, native one. And why is negative? Six? Then we'll have x zero y. It's negative, too exist. One. Why is positive too, and X is, too. Why is positive six. And then I'm going to draw a line connecting those points that shows it is a linear.
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