00:01
We have this equation, 3y minus 2x is equal to 6, and we have to find all sorts of different pieces of information.
00:05
First off is the x and y intercepts.
00:08
The x intercept is whatever point y is equal to 0.
00:11
So let's just rearrange and solve for that really quick.
00:14
Set y equal to 0, and we get 3 times 0, which is of course 0, minus 2x is equal to 6.
00:21
Then dividing over by negative 2 gives x equals negative 3.
00:25
Or as y equals 0, we can write this as the point 3, or negative 3.
00:30
Comma 0.
00:31
All right, so that's the x intercept.
00:33
Now it's time for the y intercept.
00:35
At this point, x is equal to zero.
00:37
So let's plug in x equals zero and see what we get.
00:40
3y minus 2 times 0 equals 6.
00:44
Then we just divide by 3, giving us y equals 2.
00:48
And as x was 0, we can write this as the point 02.
00:52
So just like that, we've found the intercepts.
00:54
Now it's time for the next step of this problem.
00:56
We have to find the slope of this line.
00:57
We're going to be using the slope formula, m, which is slope, equals y2 minus y1, divided by x2 minus x1.
01:07
Or x1, y1, and x2, y2 are to some points along the line.
01:11
So we're going to be using the y intercept as x2y2 and the x intercept as x1y1...