The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
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Based on the charge to the artist and the amount the streaming services pay, the following are true:
- -50.
- 5.
- y = 5x - 50
- .
- 10,000 streams.
- 190,010,000 streams
<h3>What model can be derived for the streaming data?</h3>
The y-intercept would be the amount that the artist has before they start making any money. In this case that amount is -$50 because they will owe the distributor.
The slope is the change per unit which is $5.00 here.
The formula is therefore:
y = mx + b
y = Slope × x + b
y = 5 × x + (-50)
y = 5x - 50
The number of streams to pay off the distributor is when the profit is $0:
0 = 5x - 50
50 = 5x
x = 10 units
Number of streams:
= 10 units x 1,000
= 10,000 streams
To make a profit of $950,000, the units are:
950,000 = 5x - 50
5x = 950,000 + 50
x = (950,000 + 50) / 5
= 190,010 units
Number of streams is:
= 190,010 x 1,000
= 190,010,000 streams
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Answer:
She need to walk 31/75 miles to school.
Step-by-step explanation:
It is given that,
Sofia has walk 
miles to school. She has already walk 
of a mile.
We need to find how much farther does she need to walk.
Total distance = 
Let she has to walk x distance to school.
Hence, she need to walk 31/75 miles to school.
Answer:
270 times
Step-by-step explanation:
The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.
Answer:
The angles are vertical
Step-by-step explanation:
x+42+2x+1=180
put the like terms together i.e 2x+x+42+1=180
you get: 3x+43=180
Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)
You get 3x=137
Divide both sides by 3
you get x=45.666666666667(Round off to get 45.67)
Substitute the value of x to the angles
x+42(45.67+42=87.67)
2x+1(2(45.67)+1=92.34
Add 87.67+92.34=180
THis shows that the angles are vertical
