[Video] Q21: The graph of a line in the xy-plane has a positive slope and intersects the y-axis at a point that has a negative y-coordinate. which of the following could be an equation of the line?

Explanation for Question 21 From the Math (Calc) Section on the 2019 May Sat

So question 21 says the graphics align and the X, 2 Y plane has a positive slope and intersects the Y axis at a point 3 that has a negative Y coordinate, which of the following could be an equation 4 of blind. So what we know from this is that when we have the 5 line in Y equals MX plus B form, 6 it's going to have a positive slope. 7 So Y pools positive N X, 8 and it's going to have a negative y-intercept. 9 So it's going to be minus B. So to find the answer 10 to this question, I'm going to go through the answer choices. 11 One by one, I'm going to put them into Y equals MX plus B 12 form. And I'm going to do that until I find a line that has 13 a positive and a negative B. 14 So let's start with this bottom one, negative three ax plus 15 two Y is equal to negative five. 16 So I'm going to add three X to both sides. 17 And I have two, Y is equal to three X minus five, 18 and then I'm going to divide both sides by two. That's going to give 19 me Y equals three, over two X minus five, 20 over two. And this equation has a positive slope, 21 positive three, over two, and a negative y-intercept negative five over 22 two. So I actually don't have to convert any of the other equations into 23 Y equals MX plus B form because I was the correct answer.

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