B? hopefully its the answer have a nice day
The equation that represents the line is:
![y = \frac{5}{6}x+\frac{8}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%2B%5Cfrac%7B8%7D%7B3%7D)
Step-by-step explanation:
We have to observe the graph to find the points on line
So the points on line are:
(x1,y1) = (4,6)
(x2,y2) = (-2,1)
First of all we have to find the slope
![m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%3D%20%5Cfrac%7B1-6%7D%7B-2-4%7D%5C%5C%3D%5Cfrac%7B-5%7D%7B-6%7D%5C%5C%3D%5Cfrac%7B5%7D%7B6%7D)
Equation of line is given by:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Putting the value of slope
![y = \frac{5}{6}x +b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2Bb)
Putting (4,6) in the equation
![6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}](https://tex.z-dn.net/?f=6%20%3D%20%5Cfrac%7B5%7D%7B6%7D%284%29%2Bb%5C%5C6%20%3D%20%5Cfrac%7B20%7D%7B6%7D%20%2Bb%5C%5Cb%20%3D%206%20-%20%5Cfrac%5B20%7D%7B6%7D%5C%5Cb%20%3D%20%5Cfrac%7B36-20%7D%7B6%7D%5C%5Cb%20%3D%20%5Cfrac%7B16%7D%7B6%7D%5C%5Cb%20%3D%20%5Cfrac%7B8%7D%7B3%7D)
Putting the value of b
![y = \frac{5}{6}x+\frac{8}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%2B%5Cfrac%7B8%7D%7B3%7D)
Hence,
The equation that represents the line is:
![y = \frac{5}{6}x+\frac{8}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%2B%5Cfrac%7B8%7D%7B3%7D)
Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
Answer: 0.04 per pound
Step-by-step explanation:
A 5 pound bag of apples costs 4.50.
The unit price will be 4.50 divided by 5 which will be:
4.50 ÷ 5 = 0.9
The unit price is 0.9 per pound
A 8 pound bag of the same type of apples costs 7.52.
The unit price will be 7.52 divided by 8 which will give:
7.52 ÷ 8 = 0.94
The unit price is 0.94 per pound
The difference in the unit prices will be the subtraction of 0.90 from 0.94.
0.94 - 0.90 = 0.04
The difference in the unit prices is 0.04 per pound.
60 meters per apartment x 12 apartments =720total metes for all 12 apartments 720 meters / 100 meters per spools =7.2 spools so, Ted will need at least 8 spools of cable.
Answer:
False
Step-by-step explanation:
![9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2](https://tex.z-dn.net/?f=9x%5E2-18x%2B36%5C%5C%5C%5C%3D%283x%29%5E2-%203x%20%5Ccdot%206%2B6%5E2%5C%5C%5C%5C%5Ctext%7BIt%20is%20not%20in%20the%20form%20of%7D~%20A%5E2-2AB%2BB%5E2)