The equation of line is:
![y = \frac{-3}{2}x+1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%2B1)
Further explanation:
The standard form of equation in point-slope form is:
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
Given equation is:
3x+2y=10
We have to convert it into point slope form, for which we have to isolate y on one side of equation
![3x+2y = 10\\2y = -3x +10\\y = \frac{-3}{2}x + \frac{10}{2}\\y = \frac{-3}{2}x + 5](https://tex.z-dn.net/?f=3x%2B2y%20%3D%2010%5C%5C2y%20%3D%20-3x%20%2B10%5C%5Cy%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%20%2B%20%5Cfrac%7B10%7D%7B2%7D%5C%5Cy%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%20%2B%205)
Comparing with standard form:
m = -3/2
As the new line is parallel to given line, their slopes will be equal
So,
![y = \frac{-3}{2}x+b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%2Bb)
To find the value of b, putting the given point (4,-5) in equation
![-5 = \frac{-3}{2}(4)+b\\-5 = -6+b\\b = -5+6 \\b = 1\\So\ the\ equation\ is:\\y = \frac{-3}{2}x+1](https://tex.z-dn.net/?f=-5%20%3D%20%5Cfrac%7B-3%7D%7B2%7D%284%29%2Bb%5C%5C-5%20%3D%20-6%2Bb%5C%5Cb%20%3D%20-5%2B6%20%5C%5Cb%20%3D%201%5C%5CSo%5C%20the%5C%20equation%5C%20is%3A%5C%5Cy%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%2B1)
Keywords: Point-slope form, equation of line
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Answer:
So, she spends 3 hours more sleeping than doing the activities.
Step-by-step explanation:
Consider the provided information.
According to the graph, Avery spends 33% of time in sleeping and 19% of time in doing "other" activities.
There are 24 h in a day.
According to Sleep category: 33% of 24 is:
33 % of 24=0.33×24=7.92 h ≈8 hours
We are rounding to 8 hr because the solution should be in hours as per the question requirement.
Other category: 19% of 24 is:
19 % of 24=0.19×24=4.56 h ≈5 hours
The difference of time is:
8h-5h=3h
So, she spends 3 hours more sleeping than doing the activities.
Answer:
dear explain your question briefly
Step-by-step explanation:
We will try to explain you
Lin: 7x+14=91, 91-14=7x, 77=7x, divide each side by 7, x=11
noah: x+2=91/7, x+2=13, subtract 2 from both sides, x=11