00:02
Okay, here we need the equation of a line in standard form that is parallel to this line x plus 4 y equals 32.
00:13
We also need it to pass through a point negative 8 5 which will come to in a minute.
00:18
So our first job here is to find the slope of this line that we're given.
00:21
We're going to use that as our slope because we know the two lines are parallel.
00:25
So we're going to put this into slope in a set form.
00:28
So we're going to subtract x from both sides.
00:31
So we'll get 4 y equals net.
00:34
Negative x plus 32.
00:37
We'll divide both sides by four.
00:39
Now everything by four.
00:41
We'll get y equals negative one fourth x plus eighth.
00:46
Now that this is slope in slope intercept form, we can steal the slope off of here to use as our slope.
00:52
So our slope will be negative one fourth.
00:55
Now we can bring in the point that they gave us negative eight comma five.
01:02
We're looking to finish with an answer in standard form.
01:05
But we know that we make our decision on where to stop based on what we have.
01:10
We have a point and a slope...