00:01
This problem here, we're trying to come up with the graph of the equation and put it into standard form.
00:05
The way that we begin this is kind of the opposite steps on how we solved by factoring.
00:09
So we're going to take a look and see that we have two x intercept.
00:13
One appears to be at negative 5, and the other one appears to be a positive 2.
00:18
So the last steps were solving by factoring was after we said it equal to 0, we solved.
00:22
So now what we want to do is kind of undo that by making just say equals 0.
00:26
So for this one on the left, i would add 5 to get 0.
00:29
And on the right i would subtract two to get zero.
00:32
What that tells me is that we have the equations y is equal to a times x plus 5 times x minus 2.
00:40
Now the reason i put a in there is because there could have been a number that we divided out in order for us to factor continue to factor.
00:48
So what we had to figure out is what is the a value.
00:51
What we like to do is often use another number.
00:54
So in this problem, it looks like we have a y intercept as 0 -10.
00:57
And what we can do is plug these numbers in for x and y and solve for a.
01:02
So in for y, we're going to put 10...