00:01
So my goal on this equation is to rewrite this equation so it's in slope intercept form and then to find the slope and the y intercept.
00:07
So just a reminder that slope intercept form is y equals mx plus b, where m is my slope and b is my y intercept.
00:17
And one of the most notable things about slope intercept form is that y is isolated.
00:22
And if you look at this equation, why is not isolated.
00:24
So that's going to be our first objective.
00:26
So i might start that by actually maybe distributing the negative 2.
00:32
And so if i were to do that, i would get negative 2x minus 6y equals 5.
00:39
Now i've got y being multiplied by negative 6, and it also has the negative 2x that's in the addition subtraction family.
00:46
And since i'm going to use reverse pembass, i'm going to get rid of negative 2x first.
00:50
Now to get rid of negative 2x, i'm going to add 2x because negative 2x plus 2x is.
00:56
0.
00:57
So then on the right side, i'm going to add 2x.
01:01
Bring down my equal sign.
01:03
Now i haven't gotten rid of this negative sign yet.
01:05
Just by adding 2x, i've only gotten rid of my negative 2x.
01:08
So i have got negative 6y equals.
01:11
And now here i want to add 5 and 2x, but they're not like terms, so i can just show that i want to add them.
01:17
So negative 6y equals 5 plus 2x.
01:21
My next step would be to get rid of negative 6 by dividing.
01:24
Now when i do that on the right, i need to draw one big fraction bar because i need to make sure that i divide both 5 and 2 by negative 6...