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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.$$y=-3 x+2$$
$\begin{array}{llllllll}x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ y & 11 & 8 & 5 & 2 & -1 & -4 & -7\end{array}$
Algebra
Chapter 3
Graphs and Functions
Section 1
Graphing Equations
Functions
Campbell University
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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in this problem were given the equation y equals negative three x Plus two. And we need to determine if that equation is linear or not. Linear while linear equation is to be written in the form y equals you mix plus B. And when I compare these two equations, I can see that the given equation of why equals negative three X Plus two does follow the same form as y equals MX plus bait so I can see that this is a linear equation. So let's go ahead and let's find some points or this equation so that we can graph. We're going to use the points zero one and two. So in place of X will put these numbers. So for the 1st 1 we're gonna have why equals negative three Tom zero plus two, three negative. Three times zero is still zero and zero plus two is two. Next we're gonna have why equals negative three times. One was to negative three times. One is negative. Three plus two is negative one, and our 3rd 1 is why equals native three times two plus two negative. Three times two is negative. Six plus two is going to give me negative for. So these are the three points I'm going to graph. So we'll start where x zero. Why is positive too? Eggs is one. Why is negative one and exist to why is negative for from here, We're going to go ahead and we're gonna draw a line connecting these three points. And this shows that this is a linear equation.
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