In which quadrant is the following point located? ( − 25 2 , 47 ) \left(-\frac{25}{2},47\right)

So here we have a problem that asks us in which quadrant is the following point located, and this is the point that we have, negative 25 over two, forty seven. Now how do we go about solving a problem like this? Well, it turns out when you're trying to identify a quadrant, there's a couple different ways that you can do this, but I'm gonna show you my personal favorite. Now the thing we need to remember is this is a point that we have in the form x, y. Now I'm gonna write a little mock up graph over here to give us an idea of where these quadrants are. So I can see that this would be our x and then our y, and remember that our quadrants start here. So this would be quadrant one, and then we go counterclockwise. So it's gonna then be two, then three, then four. So these are our quadrants. Now I need to be thinking about where would this point end up, negative 25 over two and forty seven. Well, I don't really need to focus on what these numbers actually are, I just need to focus on whether or not they're positive or negative. Now, I can see that the x we have is negative, and negative x values show up on the left side of the graph. So So I can already tell just by that we're going to be somewhere over here in quadrant two or three. Now I can see that our y is positive. Y or positive y only shows up on the top part of the graph. So that would be one or two, but x has to show up in two or three, so that already tells me there's only one place where we're agreeing on which is quadrant two. So that means that our point negative twenty five two is going to show up, or negative 25 over two forty seven is gonna show up somewhere over here, which means that our solution would be quadrant two. So this is gonna show up in quadrant two, and that would be the solution to this problem. So this is how you can figure out which quadrant a point shows up in. There like I said, there are a couple ways to do this, but one of these methods is to just draw out a graph like so and figure out where the point's going to end up. Now I encourage you to keep checking out the practice problems because I will show you some other methods to figure this out, but this is how you can figure out quadrants, and I hope you found this helpful. See you in the next one.

4. Graphs and Functions

The Rectangular Coordinate System

Intermediate Algebra

4. Graphs and Functions

The Rectangular Coordinate System

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Multiple Choice

In which quadrant is the following point located?
$(- \frac{25}{2}, 47)$

$Q1$

$Q2$

$Q3$

$Q4$

Verified step by step guidance

Identify the coordinates of the point given: $\left(-\frac{25}{2}, 47\right)$, where the first value is the x-coordinate and the second is the y-coordinate.

Recall the quadrant rules based on the signs of the coordinates: - Quadrant 1 (Q1): $x > 0$, $y > 0$ - Quadrant 2 (Q2): $x < 0$, $y > 0$ - Quadrant 3 (Q3): $x < 0$, $y < 0$ - Quadrant 4 (Q4): $x > 0$, $y < 0$

Analyze the sign of the x-coordinate: $-\frac{25}{2}$ is negative, so $x < 0$.

Analyze the sign of the y-coordinate: \$47$ is positive, so $y > 0$.

Combine the signs to determine the quadrant: since $x < 0$ and $y > 0$, the point lies in Quadrant 2 (Q2).

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In which quadrant is the following point located?(−252,47)\left(-\frac{25}{2},47\right)

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In which quadrant is the following point located?
$(- \frac{25}{2}, 47)$