00:01
This problem asks us to find whether or not the graph of the equation of y equals 2x plus 4 has an x intercept at negative 2 and a y intercept at 4.
00:16
So first of all, we need to know what exactly an intercept is.
00:20
That is pretty much wherever a line or a graph or shape or parabola, whatever you're working with on a graph, wherever that crosses an axis.
00:30
So right here, this would be an x intercept.
00:36
And you can notice that since it's crossing an axis, it won't have any values in the, you know, in this case, y directions.
00:50
For this intercept, this is a y intercept, and it doesn't have any distance in the x direction going either way, side to side.
01:03
So just to further illustrate that point, this x intercept right here would be 1, 2, 3, 4, 5, 6, say, let's just say 6 and a half, comma, 0.
01:20
Because, again, there's no distance in the y direction.
01:25
So let's get rid of that.
01:28
And for the problem now, we can go and we don't even have to really graph this at all to solve it.
01:37
Since we're looking for both x and y values, we can just go ahead and start here with the formula as it is.
01:50
This y is equal to two times, and we're looking for this y intercept.
01:56
So we know that this x value, this x value is going to be zero.
02:02
So substitute zero in there...