[Video] Q26: In the xy-plane, the line determined by the points k 32) passes through the origin. which of the following could be the value of k ?

Explanation for Question 26 From the Math (Calc) Section on the Official Sat Practice Test 3

Now, we're looking at question number 26, 2 which says in the X, Y plane, we have a line going through two 3 comma, K and K comma 32, and it passes through the origin. 4 Right. So then we're asked which of the following could be a value of 5 K. All right. So if we're passing through the origin 6 that we're passing through zero comma, 7 zero, and then it's saying that we're going over to K and then we're 8 going over K 32. Right. 9 And so if we look at caving equal to zero, 10 that means we go over to up zero. 11 Right. But this is a line. Um, 12 and if K was equal to zero, then that would mean that we would 13 have another point up here is 0 32, 14 and that's not a line. Right. That's a triangle. And so by drawing out 15 that graph there, we can see that, Hey, 16 it's not going to work right now. 17 If we think about being four, um, 18 this could be a possibility, right? We go over to up 1, 2, 3, 4, 19 so we would be here. Um, 20 and then we go over 1, 2, 3, 4, 21 but 30 to over four goes up 32. 22 Um, and so we noticed, right, is that possible for our slope? 23 So we look here, we see, we got, okay. 1, 2, 3, 4 would be our rise 24 here. And then one, two is going to be our run here. 25 So rise over run. This is saying that we have a slope of two. 26 Now, if I go up to over two and up to over two from 27 four, I'm not going to get to 32. 28 By the time I get to a K to my K value. 29 Right? So essentially what's happening here is that having K equal four, 30 does it make a lin...