Explanation for Question 3 From the Math (No Calc) Section on the Official Sat Practice Test 9
Question three asks us, which of the following statements is true about the graph 2 of the equation. Two, I minus three X equals negative four in the X, 3 Y plane. And then it asks us to qualify it's slope 4 and it's Y intercept. 5 So looking at the equation that we're given, 6 most of us are going to be more familiar with the slope intercept form, 7 which is that classic Y equals MX plus B. 8 So let's just rearrange this expression so that it's in slope intercept form. 9 So we have two Y minus three X is equal to negative four, 10 let's add three X to both sides. So we got two eyes equal to 11 three X minus four, and then we can divide both sides by two. 12 So we get, Y is equal to three X minus four, 13 over two, and let's distribute that so that we can see the slope is 14 three over two X minus four, 15 over two, which gets us Y equals three over two X 16 minus two. Okay. 17 So this hopefully is much more recognizable to us. 18 This point slope form with M being the slope and 19 negative two being the Y intercept. 20 So, um, as the slope, three of issue is the slope. 21 This is a positive coefficient. So that means that our slope is going to 22 be positive so we can cross out a and B and negative two 23 is R B R Y intercept. So we know that the y-intercept is negative 24 two, which is negative. So we can pick D as our answer choice.