Which graph matches the equation y 3 2 x 3

Video Transcript

Alright, so this is a bunch of questions, so I'm just gonna answer them pretty quick. Uh number eight says which of the following equations represents the given graph. On the right. All you need to know and look at is that all of these Y intercepts which is the last number in your equation is all different? Right? You come over here to your graph and you could see that your y intercept. Is that too? So you want to choose C. Why is it not letting me circle all of a sudden? It's because I'm too high up. There we go. See number nine. What are the slope and the Y intercept of this equation? You need to remember that Y equals M. X plus B. M. Is your slope? So it becomes right in front of X. So that is your too and your V value is the negative for don't forget the negative. So you want to see you again, Number 10, what is the slope of the line that contains from these two points? So your slope formula is Y two minus Y one Over X 2 -11. You can throw this in your calculator, you can do it in your head -6. If you minus a negative it becomes a positive. If you simplify You divide by two on both. So your answer is negative 3/2. So you get a that's your answer number 11, what is the equation of the line that passes through these two points? Did he ever raise a little? Okay, when we look at this, I can tell my Y intercept first of all because this is my Y intercept any time X is equal to zero. That's why all of these equations indentified. So if we find the slope, so 2 -5, those are my Y values. And then 2 0 are my X values. This would give me my m my slope. So I have negative 3/2. So again I would choose a for this answer Number 12 says the line passes through this zero and 3 and has a slope of two. What is the equation of the line? So a slope of two. That means it's the M. It means it has to come in front of the X. And the only one that has that. Let's see number 13. What is the equation of a line that passes through at this point with a slope of two thirds. So two thirds is in each one of these answer choices. So that doesn't help us narrow down so you'd have to pass through this point. This is my ex remember and that is my wife. I know it doesn't look very great but using our equation, you know what let me just erase this. So using this equation from above, I have my by value as one. My slope that gave me was 2/3. My X value is negative six plus B. And if if you have a calculator in a scientific you could probably put in this fraction and multiply it times a whole number. But remember when you're multiplying a whole number by hand these to multiply. So really I have negative 12 divided by three Plus B. -12 divided by three is -4. And then the opposite of the negative forces to add for To your other side. So b equals five. So I want to choose D. For my answer and then I can't really tell what is the equation of the line that passes through these points? Uh huh. For number 14 I'll try and do that one even though I can't tell any answer choices. That's okay. Um so I'm gonna do this slope first so 5 -3 And -2 -1. So you get two over negative three and then you can use either one of those points. I'm going to use the first one. So I have three which is my Y. Value Equals My Slope -2/3. And I went to high on this. If I go too high it doesn't want me right we said three negative two thirds and then it's time it's my X. Value which is one plus B. Well anything Times one is going to be itself. So the opposite of that is to add 2/3. So my b value is three and 2/3 but I'm guessing that it wants an improper fraction. Remember that you multiply here and you add up here. So nine plus 2 is 11 over three. So your equation, if I were to write one, it would be Y equals negative two thirds X plus 11/3, And this would be the answer to number 14 if you have to do that one.

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Terms in this set (16)

Find the x-intercept of 3x + 2y = 6

2

Find the y-intercept of 3x + 2y = 6

3

Find the x-intercept of -3x + 5y = -15

5

Find the y-intercept of -3x + 5y = -15

-3

Which graph matches this equation y = x + 3?

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The graph for x = -2 is...

a vertical line

The graph for y = -1 is...

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Match the equation y - 2x = 5 with the table.

Match the equation y + 4x = 1 with the table.

Match the equation 3y + 4x = 12 with the table.

Match the equation 3x + 2y = 8 with the table.

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