00:01
It looks like you have the first parts of these problems correctly, and you're just kind of having trouble with part c and d.
00:04
So let's take a look at part c.
00:05
So we want to write an equation of a line that's parallel to your original equation that goes through the point for negative 3.
00:12
Well, remember, parallel lines are two lines that never intersect, and they don't intersect because they have the same slope.
00:18
So what we're going to do is find this slope of our given line.
00:22
So i'm going to put this equation in slope intercept form.
00:24
So first, we'll subtract 3x from both sides.
00:26
So that'll give us negative c, negative 6y, equal to negative 3x plus 18.
00:32
Then we'll divide each term by negative 6.
00:36
So we'll have y equals, well negative 3 divided by negative 6 reduces to positive 1 half, and 18 divided by negative 6 is negative 3.
00:44
Perfect.
00:45
So now we know the slope of this line is 1 1⁄2 because it's in y equals mx plus b form.
00:49
So that means the slope of our line that we're going to write also has a slope of 1 half.
00:54
Perfect.
00:54
We just need this y intercept.
00:56
To do this, we're going to use slope intercept form...