00:01
Okay, we want to write an equation for a line.
00:05
We know that it passes through 0 .85.
00:09
It's parallel to y equals 2 5th, x plus 2.
00:13
And we want our answer in slope intercept form.
00:17
But since we're given a point and we can figure out the slope from the parallel line, let's start in point slope form, which looks like this.
00:28
Y minus y1 equals your slope times x minus x1.
00:37
What is our slope? well, if it's parallel to y equals 2 fifths x plus 2, the slope is 2 fifths.
00:50
Because the slope of y equals 2 fifths, x plus 2 is 2 fifths, and parallel lines have the same slope.
01:00
So now we're ready to write our equation.
01:04
We just take the values from our point.
01:08
That's our x -1 and our y -1.
01:11
So we've got y -minus 5 equals 2 -5ths, x -minus 8.
01:18
So we could be done there, but they want to end -slope -intercept form.
01:23
So let's go ahead and distribute that 2 -5ths.
01:29
8 times 2 -5ths.
01:31
Well, you can think of that as 8 over 1.
01:33
1 times 2 over 5 so that's 8 times 2 is 16 and 1 times 5 is okay so now we got to add 5 to both sides to get the y by itself so i'll have 2 5ths x minus 16 so now we're going to need to combine the negative 16 5ths and the 5 so we got to give them a common denominator which would be 5 so what's five? if you give it a denominator of five, well, it's got to be 25 over 5 because 25 divided by 5 is 5.
02:28
So then we can add the 16 and the 25.
02:33
Um, negative 16 plus 25...