00:01
For a problem 65, we're asked to write an equation for a line that goes to the point 6 negative 2, and that is parallel to the line 2x plus 4y equals 9.
00:15
So this has a few steps involved.
00:17
We're going to need to use the form y equals mx plus b, but in order to get the slope, we're actually going to have to pull it out of this equation, since when two lines are parallel, they have the same slope, right? these are parallel lines.
00:32
So how do we do that? well, let's get this into its standard form.
00:36
So 4y equals 9, and we're going to subtract 2x from both sides.
00:42
So minus 2x.
00:44
Now we're going to divide by 4 in order to get rid of this 4.
00:48
So y equals negative 2x over 4 plus 9 4ths.
00:56
And so this will give us a slope of m equals negative two -fourths or negative one -half...