(0, 9) represents the y-intercept of the graph.
Since the slope is 1/3, this means that y will rise 1 for every 3 that x runs.
The points that can be used to make a line in this graph are (3, 10) and (6, 11).
Answer:
2 units
Step-by-step explanation:
The length of VW is just the distance between the two coordinates. You could use the distance formula, or an easier and faster way would be to recognize that since both points have the same y-coordinate, the distance between them will just be the distance of the x-coordinates. The absolute value of -4 and -2 is 2, so the length of VW is 2 units.
Hope this helped! ;)
<span><span>If we have a point, (x1;y1)<span> and a slope, </span>m, here's the formula we </span><span>use to find the equation of a line: y - y1 =m( x - x1); where x1 = -2 ; y1 = 4 ; m = 5.
Then, y-4 = 5(x+2);
Finally, y-4 = 5x + 10 / +4
y = 5x + 14 ;
</span></span>
Answer:
a) There are 10 different samples of size 2.
b) See the explanation section
c) See the explanation section
Step-by-step explanation:
a) We need to select a sample of size 2 from the given population of size 5. We use combination to get the number of difference sample.

b) Possible sample of size 2:
Peter Hankish 8 Connie Stallter 6 Juan Lopez 4 Ted Barnes 10 Peggy Chu 6
- Peter Hankish and Connie Stallter ( Mean = (8 + 6)/2 = 14/2 = 7)
- Peter Hankish and Juan Lopez (Mean = (8 + 4)/2 = 12/2 = 6)
- Peter Hankish and Ted Barnes (Mean = (8 + 10)/2 = 18/2 = 9)
- Peter Hankish and Peggy Chu (Mean = (8 + 6)/2 = 14/2 = 7)
- Connie Stallter and Juan Lopez (Mean = (6 + 4)/2 = 10/2 = 5)
- Connie Stallter and Ted Barnes (Mean = (6 + 10)/2 = 16/2 = 8)
- Connie Stallter and PeggyChu (Mean = (6 + 6)/2 = 12/2 = 6)
- Juan Lopez and Ted Barnes (Mean = (4 + 10)/2 = 14/2 = 7)
- Juan Lopez and Peggy Chu (Mean = (4 + 6)/2 = 10/2 = 5)
- Ted Barnes and Peggy Chu (Mean = (10 + 6)/2 = 16/2 = 8)
c) The mean of the population is:

Comparing the mean of the population and the sample; we can say that most of the 2-size sample have their mean higher than that of the population sample. And the variation with the mean is not much. Some sample have their mean greater than population mean, while some sample have their mean greater than the population mean.