Slope intercept form of a line passing through (-1, -2) and (1, -4) is ![y= -x-3.](https://tex.z-dn.net/?f=y%3D%20-x-3.)
<u>
Solution:
</u>
We have to find the equation of a line in slope intercept form.
Given that
Line is passing through point (− 1, − 2) and (1, − 4).
Equation of line passing through point
and
is given by,
![y-y_{1}=\frac{\left(y_{2}-y_{1}\right)}{\left(x_{2}-x_{1}\right)}\left(x-x_{1}\right) \Rightarrow(1)](https://tex.z-dn.net/?f=y-y_%7B1%7D%3D%5Cfrac%7B%5Cleft%28y_%7B2%7D-y_%7B1%7D%5Cright%29%7D%7B%5Cleft%28x_%7B2%7D-x_%7B1%7D%5Cright%29%7D%5Cleft%28x-x_%7B1%7D%5Cright%29%20%5CRightarrow%281%29)
In our case ![x_{1}=-1, y_{1}=-2, x_{2}=1, y_{2}=-4](https://tex.z-dn.net/?f=x_%7B1%7D%3D-1%2C%20y_%7B1%7D%3D-2%2C%20x_%7B2%7D%3D1%2C%20y_%7B2%7D%3D-4)
Substituting given value in (1) we get
,
![\begin{array}{l}{\Rightarrow y-(-2)=\frac{(-4-(-2))}{(1-(-1))}(x-(-1))} \\\\ {\Rightarrow y+2=-\frac{2}{2}(x+1)} \\\\ {\Rightarrow y+2=-1(x+1)} \\\\ {\Rightarrow y+2=-x-1} \\\\ {\Rightarrow y=-x-1-2} \\\\ {\Rightarrow y=-x-3}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5CRightarrow%20y-%28-2%29%3D%5Cfrac%7B%28-4-%28-2%29%29%7D%7B%281-%28-1%29%29%7D%28x-%28-1%29%29%7D%20%5C%5C%5C%5C%20%7B%5CRightarrow%20y%2B2%3D-%5Cfrac%7B2%7D%7B2%7D%28x%2B1%29%7D%20%5C%5C%5C%5C%20%7B%5CRightarrow%20y%2B2%3D-1%28x%2B1%29%7D%20%5C%5C%5C%5C%20%7B%5CRightarrow%20y%2B2%3D-x-1%7D%20%5C%5C%5C%5C%20%7B%5CRightarrow%20y%3D-x-1-2%7D%20%5C%5C%5C%5C%20%7B%5CRightarrow%20y%3D-x-3%7D%5Cend%7Barray%7D)
Hence slope intercept form of a line passing through (-1, -2) and (1, -4) is ![y= -x-3](https://tex.z-dn.net/?f=y%3D%20-x-3)
Move a2 to the left side of the equation so you have c2-a2. then divide by 2 to get b by itself. you are left with c2-a2 all over 2. the 2s will cancel and you'll be left with c-a=b
When we are making a budget based on the expenses we incurred in the previous months on the same commodity, we take the average of the expenses.
To find the average we add all expenses and divided by the number of expenses.
Here the expenses incurred in the previous months are $67, $78, $53 & $89.
The total expenses for the four moths are
= 67 + 78 + 53 + 89
= $287
To find the average we divided by 4
So average expenses = 287/4 = $71.75
So we must Budget $72 for this month.
Option C) is the right answer
Answer:
![\text{Qualitative}](https://tex.z-dn.net/?f=%5Ctext%7BQualitative%7D)
Explanation:
Here, we want to get if the given variable is qualitative or quantitative
While qualitative describes the presence of a quality, quantitative speaks about count or number
Thus, what we have here is that we are talking about likeness and not about the count of basketball players. Thus, in this case, a certain basketball player is liked to be called a favorite because of some of the qualities he/she possesses
Thus, we can conclude that the variable is qualitative