00:01
For this exercise, we have two points that are provided, and our task here is to determine the equation of the line that will pass through both of them.
00:08
We start with the slope formula.
00:10
M, which is equal to y2 minus y1, divide by x of 2 minus x of 1.
00:18
Then, before we get too far long, let's take an extra step to organize our information here.
00:23
Let's call x1y1 our first point, so we're denoting x1 by negative 20, and y1 1 1 to make 1.
00:30
Is negative 8.
00:32
Likewise, let's call x2, y2, the second point.
00:36
Then, with these values set, we can say the slope is going to be of this format.
00:42
I'll just write a big fraction bar with negative signs in the middle for the top and bottom, and now let's go to the first column that contains y2 x2.
00:51
Y2 is 12, and x2 is set to be 5.
00:55
And now when we go to the second column, y1x1, we'll put in a negative 8 for y1, and a negative 20 for x1.
01:06
Now a rate to simplify.
01:08
In the numerator, we have 12 plus 8 altogether, and down below we have 5 plus 20, once we cancel those double negatives.
01:17
So in the numerator, we have 20, then it's being divided by 25, and this fraction will reduce...