00:01
We're going to write 3 fourths y minus 5 equals 2 5x in slope intercept form and standard form.
00:09
So let's start with slope intercept form.
00:19
Slope intercept form says y equals mx plus b, where m is our slope and b is our y intercept.
00:36
In this case, we are given 3 fourths y minus 5.
00:44
Equals 2 5x.
00:47
In order to put this into slope intercept form, i need to solve for y right here and get it all by its little lonesome.
00:56
So i'm going to start by adding 5 to both sides.
01:01
Negative 5 plus 5 is 0.
01:03
So i'm left on the right hand side with 3 4ths, y.
01:07
And on the right hand side, i have 2 5x plus 5.
01:13
And now i need to get, rid of the three -fourths because remember i just want to know what y is.
01:20
Y equals something.
01:22
So i need to get rid of whatever is attached to that y in this case it's the three -fourths.
01:28
When we divide by a fraction, it is the same as multiplying by the reciprocal.
01:35
So i am going to multiply both sides by four -thirds.
01:41
When i do that on the left -hand side, it cancels out because four -divided by four.
01:47
Is 1, 3 divided by 3 is 1, and we are left with y.
01:52
On the right -hand side, i do need to distribute that 4 -thirds to both pieces.
01:57
So i get 2 5ths times 4 -thirds, x plus 5 or 5 over 1 times 4 -thirds.
02:07
When we are multiplying fractions, we multiply straight across.
02:13
So we get y equals 2 times 4 is 8, 5 times 3 is 15x plus 5 times 4 is 20 over 1 times 3 is 3.
02:25
So in slope intercept form, i get y equals 815x plus 20 over 3.
02:33
We also want this in standard form.
02:43
Standard form says a x plus b y equals c.
02:48
Where a, b, and c are whole numbers.
02:51
And a, so we're not going to have any fractions, and a cannot be negative.
02:57
So we start again with three -fourths, y minus five, equals two -fifths, x...