Explanation for Question 8 From the Math (Calc) Section on the 2018 May Sat
Question eight says an equation of line L and the X Y plane is 2 shown above another line. K has a slope equal to double the slope of 3 L and a Y intercept equal to double the Y intercept devel at which 4 point X, Y do lines L and K intersect. 5 So to figure this out, we're going to use the Y equals MX plus 6 B formula we're Y is equal or we're M is equal to the slope 7 and B is equal to Y intercept. So from this, 8 we know that the slope of this line is two and the Y intercept 9 is seven. Since our new line has doubled the slope and double the Y 10 intercept, our new line is going to be two times two. 11 So four X plus seven times two, 12 which is 14. So now we have the equations of both lines 13 and we can set them equal to each other, to find out where they 14 intersect. And when I do this, 15 I can subtract two X and 14 from both sides to get negative seven 16 is equal to two X. And when I divide both sides by two, 17 I get X is equal to negative seven, 18 over two, which tells me that a is the correct answer.