What is the average score? 79, 82, 85, 91, 97, 73, 88, 87, 85, 92, 90, 85, 86, 91, 94, 85, 92
alexdok [17]
79+82+85+91+97+73+88+87+85+92+90+85+86+91+94+85+92=1482 divided by 17 ( the amount of numbers) = 87.17
Answer:
![|j - 25|](https://tex.z-dn.net/?f=%20%7Cj%20-%2025%7C%20)
• substitute for j as -35
![= | - 35 - 25| \\ \\ = | - 60|](https://tex.z-dn.net/?f=%20%3D%20%20%7C%20-%2035%20-%2025%7C%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7C%20-%2060%7C%20)
• but since it is magnitude, every magnitude has a positive value, therefore;
Answer:
![= { \underline{ \: \: 60 \: \: }}](https://tex.z-dn.net/?f=%20%3D%20%7B%20%5Cunderline%7B%20%5C%3A%20%20%5C%3A%2060%20%5C%3A%20%20%5C%3A%20%7D%7D)
Option C:
is the right answer
Step-by-step explanation:
Given points are:
(x1,y1) = (-1,2)
(x2,y2) = (3,4)
First of all, the slope has to be found
![m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{4-2}{3+1}\\= \frac{2}{4}\\=\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%3D%5Cfrac%7B4-2%7D%7B3%2B1%7D%5C%5C%3D%20%5Cfrac%7B2%7D%7B4%7D%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D)
The slope-intercept form of line is:
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
Putting the value of m
![y = \frac{1}{2}x+b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2Bb)
Putting (3,4) in equation
![4 = \frac{1}{2}(3) +b\\4 = \frac{3}{2} +b\\b = 4 - \frac{3}{2}\\= \frac{8-3}{2}\\=\frac{5}{2}](https://tex.z-dn.net/?f=4%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283%29%20%2Bb%5C%5C4%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%2Bb%5C%5Cb%20%3D%204%20-%20%5Cfrac%7B3%7D%7B2%7D%5C%5C%3D%20%5Cfrac%7B8-3%7D%7B2%7D%5C%5C%3D%5Cfrac%7B5%7D%7B2%7D)
Putting the value of b
![y = \frac{1}{2}x+\frac{5}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D)
Hence,
Option C:
is the right answer
Keywords: Equation of line, slope
Learn more about equation of line at:
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