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Which equation best represents the graph at the right?$$(A.) y=\frac{1}{2} x-2\quad (B.) y=2 x-2\quad (C.) y=2 x$$CANT COPY THE GRAPH
$B$
Algebra
Chapter 4
Graphing Linear Equations and Functions
Section 7
Graphing Lines Using Slope-Intercept Form
Graphs and Statistics
Equations and Inequalities
Functions
University of Michigan - Ann Arbor
Idaho State University
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this question asks us to determine which of these equations over here matches this craft on the left hand side. And what we should remember is that swot is equal to rise overrun And what that means, Baez is how many units we go up and run is how many units we go over or left or right So we can look at these equations here. Remember that the standard form for Slope is why equals M X plus B and B is our y intercept, which tells us where on the graph, we're going to have a point on the why access. And we'll notice that we have a point here at zero negative too. And that's our Y intercept. And if we look Ah, A and B will notice that we have this negative to for this y intercept. But see, doesn't have a e form. Doesn't have this be variable. Which means that this Y intercept would be zero and sends the graph. Doesn't have the y intercept at zero. We can eliminate options, see, and we can fill in this other point. If we look in the craft, it's to you too. And you can either determine the slope of the line either algebraic glee or by counting on the graph. And I'm gonna count on the graph for this. So we'll use this form here. Rise overrun so we can go up. One, 23 four. So we went up or units, so for up. And then we went over one, two, so two over. So we feel in this form we have m equals for over two, and that simplifies it to. So it tells us our slope is to. So now we can look at our options A and B and figure out which has the slope of to, and that would be option B.
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