Concept Check Suppose that the point (x, y) is in the indicated q...

Question

Concept Check Suppose that the point (x, y) is in the indicated quadrant. Determine whether the given ratio is positive or negative. Recall that  r = √(x² + y²) .(Hint: Drawing a sketch may help.)                                                                                                      
                                                                                                                                                                                                                                                                                                                                                                                      
  II , y/x

Accepted Answer

Hey, everyone here we are asked if the point Xy is in the first quadrant identify if the given ratio is positive or negative. Here, we have the ratio Y divided by X. We have two answer choice options, answer choice, a positive or answer B negative. So to identify if our ratio is positive or negative, we need to first assess these signs of X and Y in relation to our given point. So first, we want to draw our XY plane. So first we have a, a vertical line for our Y axis and then a horizontal line for the X axis. And we are told that we are in the first quadrant. So we just need to recall that the first quadrant is in the top right box on our Cartesian plane. So again, we have the point Xy in our first quadrant. So now looking at the first quadrant, we see we are along the positive X axis and the positive Y axis. So now looking back at our ratio, we know that Y will be positive since again, we are in the first quadrant and then X is also going to be positive. So we have a positive divided by a positive which just gives us a positive ratio and therefore we are left with answer choice A where again our ratio is positive. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Concept Check Suppose that the point (x, y) is in the indicated quadrant. Determine whether the given ratio is positive or negative. Recall that r = √(x² + y²) .(Hint: Drawing a sketch may help.) II , y/x