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

#### landonm2772

##### New member
I need help solving and understanding the following problem:

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

#### Dr.Peterson

##### Elite Member
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

##### Senior Member
Draw a diagram and you'll see!!

#### Jomo

##### Elite Member
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

##### Elite Member
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

##### Elite Member
@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

##### Elite Member
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

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