00:01
To find the equation of the line 5x plus 2y equals 12, so it's parallel to this line and passes through the point negative to 4, we have to first find the slope of our line.
00:16
So we'll change this to slope intercept form, which is y equals mx plus b, where m is the slope and b is the y intercept.
00:26
So by subtracting 5x from both sides, now we are going to divide by 2 to get our y alone.
00:36
So y is equal to negative 5 over 2x plus 6.
00:41
And this is really important.
00:42
This is the piece of information we needed, the slope of our line.
00:46
So let's go ahead and write the equation of our new line using point slope form.
00:53
So i have an x value.
00:54
I have a y value and we know that the slope of a parallel line is the same.
01:01
So we know our slope is negative 2 over, i'm sorry, negative 5 over 2...