The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
![\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\](https://tex.z-dn.net/?f=%5Crm%20m%20%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C)
As we can see in the graph the line goes from (-6, 0) and (0, 3)
Finding the slope:
![\rm m =\dfrac{3-0}{0-(-6)}\\](https://tex.z-dn.net/?f=%5Crm%20m%20%3D%5Cdfrac%7B3-0%7D%7B0-%28-6%29%7D%5C%5C)
m = 3/6 = 1/2
y = mx + c
y = (1/2)x + c
c is the y-intercept
c = 3
The equation:
y = (1/2)x + 3
Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
Learn more about the straight line here:
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Hello,
2^11-3^8 * p^111
=13436928*p^111
Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.
MAD of the data represented by dot plot in the picture will be Option A.
Elements in the given dot plot are,
3, 4, 5, 5, 5, 5, 5, 5, 6, 7
Steps to be followed for the mean absolute deviation of this data set.
- Find the mean of the data set
- Find the absolute distance of each element from the mean
- Find the average distance of all the elements which will be MAD of the data set.
Step - 1 :
Mean of the data set = ![\frac{\text{Total of the data}}{\text{Total number of elements}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20of%20the%20data%7D%7D%7B%5Ctext%7BTotal%20number%20of%20elements%7D%7D)
= ![\frac{3+4+5+5+5+5+5+5+6+7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%2B4%2B5%2B5%2B5%2B5%2B5%2B5%2B6%2B7%7D%7B10%7D)
= ![\frac{50}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B10%7D)
(As shown on the dot plot)
Step - 2 :
Absolute distance of each element from the mean of the data set,
3 - 5 = |-2| = 2
4 - 5 = |-1| = 1
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
6 - 5 = 1
7 - 5 = 2
Step - 3 :
Average of the absolute distance = ![\frac{2+1+0+0+0+0+0+0+1+2}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B1%2B0%2B0%2B0%2B0%2B0%2B0%2B1%2B2%7D%7B10%7D)
= ![\frac{6}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B10%7D)
= 0.6
Therefore, Option A will be the correct option.
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The power of a river to cause erosion and carry sediment depends on several factors. A rivers slope, volume of flow, and the shape of its stream bed all affect how fast the river flows and how much sediment it can erode. ... When a river slows down, it drops its sediment load.
Answer:
Step-by-step explanation:
Write the sum of the terms in descending order.