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Is the "y-x=21" and "y=8x" provided in your problem, or is that part of your work to solve it?
It's part of the problem
Ok, and is it one of the questions that may have multiple answers?
Could you rephrase that?
Wat u mean by wat u said before ?
Does your question state that multiple answers could be correct, or is it a standard multiple choice question with only one solution?
It's a standard multiple choice question
Ok, let's ignore the two given slope-intercept formulas for the moment. Does the X and Y coordinate ALONE give us the constant, also known as "k"?
I can see why you'd think that, but unfortunately it does not. If you say yes because the formula for k is k=(y/x), then you might mistakenly put intercepts as your x and y values, but you have to get those variables from solving for x and y, given a specific set of equations, and neither of your given equations fits that bill.
So let's try the next possibility. Does the given intersection point of (3,24) provide us with a y-intercept?
Explain how please. In order to help you understand why the right answer is right, I need to know your thought process for this one.
I'm guessing the y-intercept is 24 because it's on the y-axis
Is that right ? @noseboy908
It depends how you say that it's on the y-axis. More exactly, the y-axis is used for the ordered pair to simply say how high on the y-axis the point is, but you have to take into account the x value too. Understand?
Wat I mean is so the coordinates are (3,24) so the 3 would be where the x-axix is and the 24 is where the y-axix is but I understand wat ur trying to say
Ok, now let's go to the next possibility. Let's keep it simple. Can you determine slope of a line when all you know about that line is a single point on it?
I don't understand
How does one find the slope of a line?
Did you mean can we find the slope of a line knowing only one of the points ?
Oh well then no
Good, I was hoping I'd not have to defend that fact! Now, finally, look at the last possibility for an answer. When we have two lines that intersect at one or more points, what do we call those points?
Correct, but can you think of any other terms?
I'll tell you, as you may have never heard it before. Another term for the intersection of two lines, given the right question, is the "solution", therefore, when you have two or more of them, you can have multiple solutions, but that's getting into higher math. So, what does that leave us for an answer?
Ohhhhh yea I'm sorry I forgot and so the answer would be C. The y-intercept
Ok, we just determined that the intersection of two points is called what?
(In this case)
And which answer is that?
Exactly!! Now, be honest with me, do you understand why the other answers are not correct?
Yes .. But can you explain to me why the answer isn't C. Please ?
Of course! Firstly, it's imperative to note that ALL y-intercepts have an inherent x-value of 0. That's because if was any different, then the point would actually fall x units right or left of the axis!
Ohhh I understand .. Thanks so much ! @noseboy908