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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.$$y-x=8$$

linear,

Algebra

Chapter 3

Graphs and Functions

Section 1

Graphing Equations

Functions

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and this problem. We're looking at the equation. Why modest X equals eight to determine if it is linear are not linear. Now, on the gravelly Neary equation is a straight line. But we can also determine if a equation is a linear equation. Based on the four. It should be able to be written in y equals MX plus B. If it is a linear equation so less determined by isolating the why If this equation can be written with as y equals MX plus B So we're gonna add X to both sides. Our exes will cancel out on the left and leave me with why equals X plus eight, even though I don't have a number in front of my ex, were understood that say one any time we have available by itself without a coefficient, there is a one in front of that variable. This equation is written in the same form as y equals MX plus B. So our equation is linear. Now we're going to graft the equation and we're going to use a few points and for this we're gonna use the points zero one, and to now you can use more points but we're just gonna do these three. For now, we're gonna put these X values in place of X and our equation to determine what why would bay. So first we're gonna have why equals zero plus eight, which is eight. Next would have y equals one plus eight, which is nine. And why equals two plus eight, which is 10. We're now ready to graft those three points. So my x zero my wife was eight on the first point. My ex is one. My wife is nine on the second point, and my exists to my wife is 10 on the third point. And from there I can draw a straight line connecting these points, which shows that it is a linear equation.

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