Explanation for Question 36 From the Math (Calc) Section on the 2017 May Sat
Question 36 gives us a graph and then says align in the X, 2 Y plane above, sorry, 3 Elaine, you have shown in the X, Y plane above a second line. 4 Not shown is parallel to the line shown and passes through points. 5 One comma, a one and three comments seat where C is a constant, 6 what is the value of C? So let's go look at the first part. 7 They tell us that we have a line that is not shown, 8 but parallel to the line that they give us. 9 So if the line is parallel to this line, 10 they have the same slope. What we can do here is find 11 the slope of this line and then use the slope, 12 which would be the same slope as the second line to find what C 13 is. So first things first let's find the two points on the line that 14 is shown so we can find the slope. The first point here is 15 four negative two. 16 And the second point here is Ciro negative five. 17 So now to find a slope, um, 18 we do Y two minus Y 19 one over X, two minus X, 20 one equals M. So I'm going to leave on my 0.1 and two. 21 So my Y two was negative five and 22 my Y one is negative to make 23 sure you have parentheses around, like, cause there's a lot of negative signs here. 24 And then our X two is zero and our X one is 25 four. 26 And now we can actually add to the top and the bottom to figure 27 out what her slope is. Since we have that negative and the negative on 28 the top, we have negative five, two negatives become positive. 29 So plus two that's negative three. 30 Then we have zero minus four on...