00:01
We're going to write the equation of the line that passes through the point negative 5, negative 4, and is perpendicular to 5x plus 6y is equal to 36.
00:14
So first let's find the slope of our line that we're comparing it to.
00:19
I'm going to subtract 5x, and i'll have 6y is equal to negative 5x plus 36, and then divide everything by 6.
00:30
And we find out that y is equal to negative 5 over 6x plus 6.
00:34
So the important part that we found out here is the slope of our line is negative 5 over 6.
00:40
We know that equations that have the same slope are parallel and equations that are perpendicular have slopes that are opposite reciprocals.
00:52
So if i take the opposite reciprocal, my slope is going to be positive 6 over 5.
01:00
So now let's take the positive 6 over 5 and the point negative 5, negative 4, and plug that into slope in or point slope form...