00:01
In this problem, we're given the equation 2x minus y equals 5, and we need to determine if this equation is linear before we graph it.
00:10
Now, linear equations should be able to be written in the form, y equals imx plus b, which means y needs to be isolated.
00:21
It's not in this equation, so let's go ahead and isolate it to determine if this can be linear or not.
00:27
So let's start.
00:28
We're going to move our 2x over by subtracting 2x on both sides, which will cancel out and leave me with negative y equals negative 2x plus 5.
00:42
Now, it's starting to look the way it should, except i can't have a negative y.
00:47
So i'm going to divide by negative 1.
00:50
And because i do that to the y, i do that to everything.
00:53
So i have positive y equals positive 2x minus 5.
01:01
All that happened is because i divided by negative y, everything changed its signs.
01:07
So now i have y equals 2x minus 5.
01:11
When i compare that equation to the form of a linear equation, i can't see that this line will be linear...