00:01
So the first question says, find the equation on a line that passes through negative 1, 2, and is parallel to 4x minus 2y equals 7.
00:17
And i'm going to write it in slope and yourself 1.
00:19
First thing i need to do is find out my slope.
00:22
Now, when lines are parallel, they have the same slope.
00:25
So if i find the slope for this line, then i know it will be the same for this line.
00:29
So to do so, let me rewrite, i'm going to solve for y.
00:34
So i'm going to subtract 4x, subtract 4x.
00:38
Negative 2y equals negative 4x plus 7, divide by negative 2.
00:45
Oops, everything by negative 2.
00:48
Now, my y intercept doesn't matter for this, because i just need it parallel.
00:53
Y equals negative 4 divided by negative 2 is a positive 2 and negative 7 halves.
01:00
So the only thing that i need is that my slow pass to be 2.
01:04
So now i'm going to come back up.
01:08
Move this over.
01:15
My slope has to be positive too.
01:18
So i'm going to use point slope form, which is y minus y1 equals m x minus x1.
01:27
And i'll solve for y to put it in the slope intercept form.
01:31
So this is my x1, y1, and my slope is.
01:35
So y minus 2 equals 2 x minus negative 1.
01:45
Now when you subtract the negative, it turns into a positive.
01:49
Let's start to simplify this.
01:51
2 times x is 2x.
01:53
2 times 1 is 2.
01:57
Add 2 to solve for y because i needed it in slope intercept form.
02:03
My final answer is going to be 2x plus 4...