00:01
So the question here is asking us to write the equation of a line that is parallel to this one and it passes through this point.
00:16
So first we got to make sure we understand that parallel.
00:19
And i think we know intuitively that parallel means they don't cross, but when we're dealing with equations of lines, what makes them not cross is they both have the same slope or same m value.
00:33
So if we're looking at an equation that has this form, y equals mx plus b, and hopefully at this point you've seen this form before.
00:41
You're familiar with it.
00:42
The m is our slope.
00:45
So our new line also has to have a slope of four.
00:51
So depending on what school you go to, there's like two paths you might go down.
00:56
One, some schools will teach you the point slope form, which is that you have y minus y1 is equal to m times x minus x1.
01:07
And those x1 and y1s are.
01:09
Just the point that they give you.
01:12
Some schools will say use this and plug in the slope, plug in the x and the y, and then solve for b.
01:20
Either way, you're going to get the same value...