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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.$$y=6 x-5$$
$\begin{array}{lcccccc}x & 0 & 1 & 2 & -1 & -2 & 3 \\ y & -5 & 1 & 7 & -11 & -17 & 13\end{array}$
Algebra
Chapter 3
Graphs and Functions
Section 1
Graphing Equations
Functions
Campbell University
Harvey Mudd College
Baylor University
University of Michigan - Ann Arbor
Lectures
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In mathematics, a function…
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Determine whether each equ…
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in the sea problem. We want to look at the equation. Y equals six X minus five and determine if it is a linear equation or not. Well, we know that a leader equation is one that creates a straight line on a graph. But we could also look at the equation itself. And linear equation should follow the model. Why equals you mix plus bay. And I noticed that this equation here why equal six X minus five does follow this same model. So this tells May that this is a linear equation. So now that we know this is a linear equation, we're gonna graph some points on the line. So we're gonna pick out some points using an X Y table. So for this one, we're going to use the 10.0 one and two for X, and we're just gonna rewrite the problem. And in place of eggs, we're gonna put those numbers. So first will have why equal six tom zero minus five. Six times zero is zero and zero minus five is negative bath. Next we'll have Why equal six times one modest five, six times one is six and six minus five is a positive one. And then lastly, we'll have. Why equals six times too minus five. Six times two is 12 and 12. Honest Bob is seven. So those are the three points I'm going to graph Celeste graph office. So where x zero wise negative five will be my first point. Where exist one wise one and we're exist to Why is seven? And then we'll draw a straight line connecting those two points. Let's try that one again to get her long straight. So now you can say that this is a linear.
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