Y Intercept: "A line that includes points (0, -3) has a y-intercept of ___?"

landonm2772

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I need help solving and understanding the following problem:

A line that includes points (0,-3) has a y-intercept of _?
 

Dr.Peterson

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I suppose you meant "A line that includes point (0,-3) has a y-intercept of _?" At first I thought there was a point missing.

But just think about the definition of y-intercept. In fact, tell us what definition you were given.
 

Harry_the_cat

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Draw a diagram and you'll see!!
 

Jomo

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I need to repeat that although (x,y) has two numbers it is ONE single point. Now plot the point and everything will be clear.
 
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pka

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I need help solving and understanding the following problem: A line that includes points (0,-3) has a y-intercept of _?
@landonm2772, suppose the question were: The non-horizontal line \(\displaystyle \ell\) contains the point \(\displaystyle (-6,0)\) then where does \(\displaystyle \ell\) cross the \(\displaystyle x\text{-axis}\). What would you answer?
 

Jomo

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@landonm2772, suppose the question were: The non-horizontal line \(\displaystyle \ell\) contains the point \(\displaystyle (-6,0)\) then where does \(\displaystyle \ell\) cross the \(\displaystyle x\text{-axis}\). What would you answer?
Did you mean to say non-vertical line?
 

Dr.Peterson

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Did you mean to say non-vertical line?
No, pka is proposing a new question with a similar but different issue. This time it's the x-intercept, not the y-intercept.

This is a good thing to consider, at least after figuring out the given question.
 

pka

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Did you mean to say non-vertical line?
No, because a non-horizontal line must intersect the x-axis at exactly one point.
 
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