00:02
Okay, first thing i want to find a line parallel to the given line going through 3 minus 2.
00:08
So first step, find the slope of the line given to you.
00:12
So 4y is minus 3x plus 9, as rearranged it.
00:19
So y is minus 3 quarters of x plus 9 over 4.
00:26
Now in that format the slope of the line is minus three quarters.
00:34
Now my new line, y equals mx plus b, parallel means same slope.
00:44
So my slope here is also minus three quarters.
00:48
Double change is the value of b.
00:51
And to find b, just plug in a point on the line, other words, this point here.
00:57
So minus 2 is the y value minus 3 quarters 3 is the x value plus b.
01:08
So minus 2 is minus 9 over 4 plus b.
01:16
And if i add 9 over 4 to both sides, i will get 1 quarter equals b.
01:27
So my first equation is going to be y equal.
01:32
Equals minus three quarters of x plus one quarter...