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Use the intercept method to graph each equation.$$-9 x+4 y=9$$
$x=0 ; y=\frac{9}{4}$$y=0 ; \quad x=-1$
Algebra
Chapter 3
Graphing Linear Equations and Inequalities in Two Variables; Functions
Section 3
Intercepts
Graphs and Statistics
Equations and Inequalities
Linear Functions
Systems of Equations and Inequalities
Campbell University
McMaster University
University of Michigan - Ann Arbor
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So if we have the equation negative nine acts to post for Y is equal to nine and we want to use the intercept method. We first have to plug in zero for the X, and that gives me nine negative nine times zero, which gets read that entire thing. So four wise eagle to nine. I'm gonna divide both sides with my equations by four to isolate Mei Wai asked 9/4 And that basically gives me our coordinate point of zero comma 9/4 because remember, we had plugged in a zero for the X. So now I'm gonna take that same process. But instead of putting in as your for the ex, im gonna do so for the why which cancels out that why component and now have negative nine Times X is equal to nine. I'm gonna divide both sides of my equation by negative nine to get that X is equal to negative one. That gives me negative one comma zero. So now I have my two points and if I have two points, I can grab it. So negative one comma zero, let's say is right here. Zero common, 9/4. Let's say is like up here. And if I connect those two points, I have a line
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