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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.$$4 x-y=7$$

$\begin{array}{rrrrrr}x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ y & -19 & -15 & -11 & -7 & -3 & 1 & 5\end{array}$

Algebra

Chapter 3

Graphs and Functions

Section 1

Graphing Equations

Functions

Missouri State University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function…

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02:28

Determine whether each equ…

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in this problem were given the equation for X minus Y equals seven and we need to determine if this equation is linear for an equation to be linear, it needs to be able to be written in the form Why equals you mix plus B, before we can judge this equation can be written in this form we need to isolate or why. So we need to subtract for X on both sides first. That's gonna leave. May with negative y equals negative for X plus seven. I don't want negative Why? So I need to divide everything by negative one, and all that's going to do is change the signs of all my numbers. So that leaves me with why equals instead of negative forex positive for ICS instead of positive seven and won't have now negative seven. When comparing these two equations from the linear equation form and the given equation, I can see that they are in the same form, which tells me that this is a linear equation. So now we're gonna graft this equation. We're gonna create an X y table to do so, and we're gonna use the 0.1 to and we're gonna use this. Y equals four X minus seven. So, in place of X, I'm gonna put zero. So I'll have why. Equals four times zero minus seven. Four times zero is zero and zero. Minus seven is negative. Seven. Next we're gonna have why? Equals four times one minus seven four times. Oneness four and four minus seven is negative. Three. Lastly, we'll have why. Equals four times two minus seven. Four times two is eight and eight. Minus seven is positive one. So let's graft these points. So first we have where X is seven. I'm sorry where X is gonna move this down just a little bit. I actually need rode up where? X is zero wise. Negative seven. I don't have a negative seven on here, so we're gonna bring it to this point right here. So that will be my first point. Next. We have where X is one wise negative three, and then we're excess to Why is positive one from here? I can connect my luck, my points with a line, and I can see that this is a linear

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