Locating y-intercepts from graphs

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Maths8th grade math (TX TEKS)2:153 check-ins

About this video

The y-intercept is where a line crosses the y-axis. Through three graph examples, Sal finds y-intercepts of 6, 3 and -3.5 and shows they can be written either as the y-value or as a point with x = 0, such as (0, 6).

You'll be able to

  • find the y-intercept of a line from its graph.
  • write a y-intercept as a y-value or as a point (0, b).
  • explain why x is always 0 at the y-intercept.

Key words

y-intercept
The point where a line crosses the y-axis.
y-axis
The vertical number line on a graph, where x = 0.
coordinates
A pair (x, y) that gives a point's position on a graph.
Transcript

- [Instructor] All right, let's get some practice identifying Y intercepts and just as a hint, the Y intercept is where a line intersects the Y axis. So pause this video and think about what is the Y intercept of this blue line? Alright, so where is this line intersecting the Y axis?

It's doing it right over there. Now, there's two ways that you can saY what the Y intercept is. Some people will just give you the Y value. They'll just saY the Y intercept, intercept is equal to, in this case six, because that is the Y value, or they'll just give you the coordinates.

TheY could also saY the Y intercept is the point, 0,6, but either way, that point right over there, 0,6, or when Y equals six, that's the Y intercept. Let's do another, let's do another example here. What is the Y intercept here? Pause the video, trY to figure it out.

Well, this line intersects the Y axis right over here. That looks like it is the point X equals zero and actuallY if we're, if we're talking about a Y intercept, X is always going to be equal to zero because that's when we are on the Y axis and the Y value here is, we can notice it's halfwaY between two and four.

It is right there at three. So we can saY the Y intercept is 0,3, or some people would saY that the Y intercept maY be y-int for short is equal to three. Once again, two ways to communicate that. Let's do one more example. I don't know where this little red spot came from, but let's ignore it.

What is the Y intercept for this line? Well, we're intersecting the Y inter, we're intersecting the Y axis right over there. That is the point. Well, X is going to be equal to zero because we are on the Y axis and Y looks like it is halfwaY between negative three and negative four, so it's negative 3.5, or some people would say that the Y intercept is negative 3.5.

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