00:02
If we are given the equation, x plus 3y equals 6, and we want to graph this line.
00:18
And in order to do that, we want to find the x intercept and the y intercept and then just one checkpoint before we graph our line.
00:34
Now, with my x intercept, i know that that is the point on my line that crosses the x axis.
00:45
And therefore, with that, my y will be zero.
00:54
And then on my y intercept, it's going to cross the y axis, and therefore my x will be zero.
01:04
And i can use this information to then help me find the rest of these two points on my line by solving using the equation.
01:17
So let's start with our x intercept.
01:21
So let's solve for x by replacing the y with zero.
01:27
So x plus three times zero equals six, x plus.
01:39
0 equals 6, so x equals 6.
01:49
So our x intercept will be at the point 6.
01:58
So let's do the same process for our y intercept.
02:05
Replacing x with 0.
02:09
So 0 plus 3y equals 6, 3y equals 6.
02:23
We'll divide both sides by 6, excuse me, both sides by 3, and then we're left with y equals 2.
02:34
So my y -intercept is at the point 0.
02:42
Now, that checkpoint we talked about, let's just solve for the point y equals 1.
02:54
So this time in our equation we'll do x plus 3 times 1 equals 6...