All right.
The question on this, ladies and gentlemen,
asked me to find the x and y-intercepts of the graph.
So to do that, I'm going to give you guys a little bit
of history of remembering x and y-intercepts.
So first of all, asking us to graph, all right?
We're going to use the Cartesian coordinate system.
Where we have two axes, right?
You have your y-axis and your x-axis.
Now, remember we also start at the origin, 0, 0.
OK?
Now remember, when we have a point that crosses the x-axis,
a point that crosses at the x-axis
is called the x-intercept.
Right?
You intercept a pass, it intercepts the axis, right?
Now the main important thing that you guys
need to know about that is when a point crosses
the x-intercept, right?
Remember, we have these values.
1, 2, 3 1, 2, 3, right?
Then you go negative is down, negative is to the left.
If I cross at x equals this value, which is negative 3,
what is my y value?
You guys really need to be looking up here
and write it down.
What is my y value over here?
Negative 3.
No, my x value, you're right, is negative 3.
But what's the y value?
0, right?
So this at this point is my x-intercept.
So if I'm asking you, here's my equation-- which, by the way,
is in standard form--
actually, not really.
We could factor out a 2, but it's
in the standard form format.
If I say tell me what the x-intercept is,
you don't know what x is, right?
But do we what y is?
y has to be what?
0, right?
Because I said I don't know where
the x-axis is, but no matter what, y is going to be 0.
So what we write is--
I always like to write two forms.
I always say x-intercept, and I say y equals zero.
Then what do you think it would be for the y-intercept?
What do you think x is on this y-intercept?
0.
So then I write y-intercept, x equals 0.
So we're going to do the problem twice.
One for the x-intercept, one for the y-intercept.
Because that's what I asked you to do, right?
Find the x and the y-intercept.
Right?
Anna, could you please put that away?
So what does it mean when y equals 0?
We're going to plug 0 in for your variable.
Why does y equal 0?
y equal 0 because look.
Let's pretend here's my point, right?
Let's say I have a graph, crosses it right there.
At that coordinate point, right?
You had to go over 1, 2, 3.
So you went over negative 3.
But then how high up and down do you go on the y-axis?
You didn't go anywhere, right?
So it's negative 3 comma 0.
That make sense?
Now.
[SIDE CONVERSATION]
You use this to find the x and where it crosses the two axes
and then connect.
I'm going to.
Wait once when he's, and I'll explain it.
Hold on, hold on.
OK.
So, not done here yet, Cedric.
So ladies and gentlemen, remember
at each y-intercept or x-intercept,
the other value is equal to 0.
Can we hold off, ladies and gentlemen?
Catherine.
Yes.
So now what we're going to do is plug 0 in for x and solve.
What's 2 times 0?
0.
So I'm left with 6x equals 6.
Divide.
y always equals 0 for the x-axis.
I'm sorry, the x-intercept.
Whenever you want to find the x-intercept, y equals 0.
Do we know what the x-intercept is?
That's what we're trying to find.
That's the problem it's asking, is find the x-intercept.
Now to find the y-intercept, you plug x equals 0.
That's equal 0.
So you have 2y equals 6, divide by 2, y equals 3.
Now these coordinates, remember, I said this is the x-intercept.
So how do you write that as a coordinate point?
Remember, every point on the graph
has an x and a y-coordinate, right?
Well, your x-coordinate is 1, the y-coordinate is 0.
Here-- your y-intercept-- your x-coordinate is 0,
your y-coordinate is 3.
So plot those two points.
1 comma 0 is right here, 0 comma 3 is right there.
You connect, and then you solve.
Now you graph.