Answer:
A. -1 and 1/3
Step-by-step explanation:
The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them
Answer:
Connect the two centers to produce the trend line
Step-by-step explanation:
When the dots have been plotted, there are three steps to find the trend line on a scatter plot:
1. Draw a vertical line that separates the full set of points into two sets, each with the same number of dots.
2.Mark with a special sign (e.g + or ×) the middle value in each of the two sets obtained in the previous step.
3.Join the two marks mentioned in the step (2) with a straight line, and extend it to the edges of the graph. This line is the trend line, and this is the last step.
Thus, the last step when using the divide-center method to find the line on scatter plot is Connect the two centers to produce the trend line.
<u>Answer-</u>
<em>Area of the triangle is </em><em>10 sq.units</em>
<u>Solution-</u>
We know that,
![\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20triangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5B%7Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%29%5D)
Taking,
(x₁, y₁) = (3, 3)
(x₂, y₂) = (3, -1)
(x₃, y₃) = (-2, -5)
Then putting these in the formula,
![\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20triangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5B3%28-1%2B5%29%2B3%28-5-3%29-2%283%2B1%29%5D)
![=\dfrac{1}{2}[3(4)+3(-8)-2(4)]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B3%284%29%2B3%28-8%29-2%284%29%5D)
![=\dfrac{1}{2}[12-24-8]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B12-24-8%5D)
![=\dfrac{1}{2}[-20]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B-20%5D)
As area can not be negative, ignoring negative sign,
Type it into Desmos graphing calculator it is so helpful.
Have a merry Christmas!
