Answer Choices
(0, 7)
(1, 7)
(7, 7)
(14, 2)
Explanation for Question 12 From the Math (No Calc) Section on the Official Sat Practice Test 1
So number 12 tells it tells us the aligned in the X, 2 Y plane passes through the origin, and it has a slope of one over 3 seven. And we want to know which of the falling points could lie on 4 the line. So we can think about writing an equation here, 5 right? Y is equal to M X plus B. 6 If we pass through the origin, then we know for sure that our Y 7 intercept has to be zero because I can only pass through the Y axis 8 once. And I do that at the origin. 9 So the B is equal to zero plus zero, 10 and they told us what our slope was. It's one over seven. 11 So Y is equal to one over seven X plus zero. 12 We can rewrite that even more simply as Y is equal to one over 13 seven X. And so now, 14 if we look at each of these points, 15 we can plug in their X values and then see if the Y value 16 that comes out of our equation is actually equal to the Y value in 17 the expression. 18 So if I plug in the X is equal to zero, 19 right? If I do one over seven times zero, 20 I get that Y is equal to zero, which is not consistent with answer 21 choice a, because they try to say that the Y coordinate is seven. 22 So a is wrong. Now B Y is equal to one seventh 23 and my X coordinate is one. So that means that my Y coordinate would 24 have to be one over seven, which again is not what B says. 25 So BMSB wrong. Now, 26 see if I do, Y is equal to one over seven times, 27 an X coordinate of seven, these sevens cancel, 28 I get one, which is not what they have, 29 right? They say that the Y would be seven, which is wrong. 30 And so hopefully D will give us a correct answer, 31 right? We get, Y is equal to one over seven times 14. 32 So it's really like doing 14 divided by seven, 33 which is two. And now this Y coordinate is consistent with the answer choice. 34 So our best answers going to be D.