00:01
Okay, so we need to find the line that's parallel to 4x plus 5y equals 6.
00:06
So i want to identify the slope of this line.
00:09
So in order to do that, my, i'm going to first subtract 4x to both sides.
00:15
So 5y equals a negative 4x plus 6, divide everything by a 5.
00:20
So y is equal to negative 4 5ths, x plus 6 fifths.
00:25
The only thing that matters here is the negative 4thths, because the equation of my parallel line, um, passing to the point that's parallel to the line.
00:37
Well, okay, some of this is cut off, so i'm assuming it's the same thing in both cases.
00:42
So i want to be parallel and passing to the point four negative three.
00:46
My parallel slope is going to be a negative four -fifths x plus b.
00:52
So a negative three is equal to a negative four -fifths times four plus b like that.
00:59
That's a negative 16 -fifths plus b.
01:02
So i add that to the other side...