[Video] Q6: Line l is shown in the xy-plane above. which of the following is an equation of line l ?

Explanation for Question 6 From the Math (No Calc) Section on the 2018 May Sat

Question six asks line L is shown in the X, 2 Y plane above which of the following is an equation of line L. 3 So to find the equation of line L we're going to use the Y 4 equals MX plus B formula where M is represented or M represents the slope 5 and B represents the Y intercept. 6 So let's start by finding the slope. I'm just going to take two points 7 and I see that the rise is negative one and the run is positive 8 two. So rise, negative one, 9 run positive two that tells us our slope is negative one over two, 10 and now to find our Y intercept. Well, 11 that's right here and that's that positive three. 12 So we know that our lines equation should be, 13 Y is equal to negative one half X plus three. 14 So now we can go through each of these equations as the answer choices, 15 put them into Y equals am I supposed to be formed and find which 16 one matches the correct equation, which is this right here. 17 So starting with this, we can move, 18 uh, X to the other side that gives us negative X plus six is 19 equal to two Y and divide both sides by two, 20 we get negative one half X plus three is equal to Y. 21 And that's actually the correct answer because that has the correct slope and the 22 correct Y intercept. So a is the right answer.

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