00:01
Okay, when you're working this problem, you're asked to reflect it over three different lines.
00:07
So the first thing to do is let's just go ahead and plot the points of this line.
00:11
So remember the standard equation for slope intercept is y equals mx plus b, where b is a y intercept.
00:18
So in this case, negative one is our y intercept.
00:22
So i'm going to put a dot there.
00:23
And then our slope is three -fourths, which means rise over run.
00:27
We're going to rise three and run over one two three four and i'm going to plot several of those one two three one two three four and i'm going to reverse that one two three one two three four so i could have at least one point over here so now those are the points that apply to this line now the first one is asking you to reflect it over the x axis so i'm going to put a dot a red dot dotted line on the x -axis because that's what we're reflecting it over.
01:03
So for this point, it's one away.
01:06
So we're going to put a point up here.
01:10
And then this one is two away.
01:12
So one, one, two, one, two.
01:17
And then this one is one, two, three, four, five.
01:21
So one, two, three, four, five.
01:26
And then i can also do this one as well.
01:28
So one, two, three, four, one, two, three, four.
01:33
Three, four, one, two, three, four.
01:39
So i can use y equals mx plus b to find it at the same thing.
01:44
I know the y intercept is positive one.
01:49
And then i can just use rise over run to find the next point.
01:52
Well, i know it's going to be negative because it has a negative, the points fall in a negative way.
02:00
So i'm just going to put my negative sign there.
02:03
And then i run over one, two, three, four.
02:07
So, so my x is four, and then i come down one, two, three.
02:17
And then the last thing to do is put the variable x.
02:21
So there's the equation when we reflected over the x axis.
02:25
Now when we do it over the y axis, i'm going to go ahead and put that in green.
02:33
This point right here isn't going to move because it's already on the y axis...