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Elementary Task Job VEWEAPIVKarl wrote the equations y = 2x and y-x+2. PART A Which equation represents the graph on the right?...

Question

Elementary Task Job VEWEAPIVKarl wrote the equations y = 2x and y-x+2. PART A Which equation represents the graph on the right?

Elementary Task Job VEWEAPIV Karl wrote the equations y = 2x and y-x+2. PART A Which equation represents the graph on the right?



Answers

Choose the equation whose graph is shown at the right. A. $y=\frac{1}{2} x-2$ B. $y=2 x-2$ c. $y=2 x$

We need to match the graph to one of the I mean, we need to match the system of equations to one of the graphs, So we multiply the top equation by two. We get four X minus two. Y is equal to two, So our wise counselor or left with five, X is equal to negative five, so X is equal to negative one. So we get a solution, so it can't be D. There are two separate lines. So we've got B. Our X value has to be negative, so that throws out see and that throws out at and A the X value is closer than it is for E. So E is thrown out and are correct. Answer is A.

We're going to do problem number to this question. We have to say, explain how to use the graph at the right. Okay, uh, to solve this system off linear equations. So linear equation is given to X. That is why is it calls toe Manus X pledged to on another question is given. That is why is he calls Toe X plus two and along with this graph is given. Okay, let me draw it roughly. This is the graph which is given to us. Okay, this is the graph which is given to us that is offered to a straight line intersecting each other at the coordinate. Let's find that coordinate from the book. That coordinate is two comma zero. Okay, Liberated. If we see that, that will be zero comma to as it lies on the y axis on. But it is intersecting at why is it culture too? So we're going to write that coordinate Toby zero comma to So we had written this from the Given Duff in book. Okay, So toe check from graph. We had what we did The first we had found the coordinate where the lines are intersecting. Whether where this lines off. These two equations are intersecting. Now we got the coordinate toe check. Whether this is a solution or not, we're going to put one by one. Let's say in first equation, that is why is it calls to Manus X plus two. We're going to put zero command to let us check whether it is satisfying or not. So if you put X equals to zero here on, why is it called to do so? We will have to physicals too. Manus zero plus two were just substituted the value of Y and X. So from here we will have two is equal to two minutes. Electricity culture richest. It is holding well. It means this is valid means the zero comma to as valid for first equation. Similarly, we're going to check for second equation. That is why the construct much too. We are again going to put their the coordinated zero comma to. So if we put there the value off why, Toby, to an extra zero, then we're going to have again. To is equals to do so what we saw. We saw that the coordinate that zero comma to is holding valid for both the lines. Okay, so that will be the solution. That will be the common solution for this to line that is zero commando. So this will be the solution that will be the value of X and Y, thank you very much.

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.

This question as this team matched a graph to the equation Y equals X plus two. And we should remember that the standard formula for Slope is Amec's plus bean, where B is our y intercept. So in this case, too, and the only graph that has a Y intercept of to is option A.


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