00:01
So this scattered diagram shows the amount of milk that an average american drank in one year for the years from 1980 to 2008.
00:09
And they said that a straight line can be used to model data.
00:11
So notice in the graph, they drew a straight line and that it hit two of the points, which, as i labeled, are the point six and 26 .5, and the order to pair 21 and 22.
00:22
So in part a, they wanted to use the two highlighted points to write the equation of the line in slope interset form.
00:28
Well, when we're asked to write an equation of the line, the first thing we have to find is the slope.
00:33
Well, remember, to find slope, we use the formula, m equals y sub 2 minus y sub 1 over x sub 2 minus x sub 1.
00:42
So i'm going to go back to my order pairs and label my values.
00:45
So for my first order pair, 6 is going to be my x of 1, and 26 .5 will be y sub 1.
00:51
In the second order pair, 21 will be x sub 2, and 22 .0 will be y sub 2.
00:56
Now we're going to substitute these values into our equation.
00:59
So we're going to have m equals 22 .0 minus y sub 1, which is 26 .5, divided by x sub 2, which is 21, minus x sub 1, which is 6.
01:11
And now we just need to simplify.
01:13
Well, 22 minus 26 .5 is negative 4 .5, and 21 minus 16, sorry, 21 minus 6 is 15.
01:23
And negative 4 .5 divided by 15 is negative 0 .3.
01:28
So now we found our slope.
01:29
Well, we're not given the y intercept for this equation, so we have to use point slope form, which is y minus y sub 1, equals m times the quantity of x minus x sub 1.
01:39
Well, remember, m stands for the slope, which we just found, and x sub 1 and y sub 1 represent the point in our line.
01:46
Well, remember, we already labeled that first ordered pair x sub 1 and y sub 1, so we can use those values.
01:51
So, what are we going to get? well, we're going to have y minus y sub 1, which is 26 .5, equals m, which we found to be negative 0 .3, times the quantity of x minus x sub 1, which was 6.
02:07
And now we simply need to get y by itself.
02:09
Well, to do that, we first need to distribute negative 0 .3 to both terms in the parentheses.
02:15
So we're going to have y minus 26 .5 equals, well, negative 0 .3 times x is negative 0 .3x...