00:01
Hi, sorry it's a little loud.
00:03
So the given equation is x plus 6y equals 12, and we need to find the line of equation if it passes through negative 6, negative 4.
00:12
So the first thing i want to do is put this in slope intercept form, which follows the equation.
00:20
Mx plus b equals equals y equals y, or y, equals mx plus b it's the same thing so we're going to do to get y alone is we're going to subtract x on both sides is what you do to one side you have to do to the other side and then you want to divide y by six so that you get y alone in the inverse operation and multiplication which is six times y is division so we're dividing it by six just to get y itself so over six and put this over six so it would be y equals 2 minus 1 6 x.
01:22
Okay, so now we have it in slope intercept form.
01:27
And now we're going to look over at the slope point formula, and this is what's going to help us get to the answer.
01:34
Because it's passing through a point, we use slope point formula to apply both the equation and the given ordered pair.
01:43
So the equation is y minus y1 is equal to m times x minus x1.
01:49
And it looks a little complicated, but it's really not.
01:52
So let me walk you through it.
01:54
So we obviously don't know why it, so we're just going to leave it as y.
01:58
And negative y1 is, or minus y1, y1 is just saying the y in this ordered pair, which is negative 4.
02:07
So y minus negative 4 equals and i'm sorry not mx.
02:20
Mx is basically the one -sixth x, so negative one -sixth, x minus x1, which is negative 6.
02:45
So let me just put this in parentheses here.
02:49
That makes a little more sense.
02:52
Actually, i'm going to put this in brackets because there you go.
02:56
Okay, so a negative plus a negative is a positive.
03:01
So it's going to be y plus 4 is equal to, and i'm just going to simplify this...