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ella [17]
3 years ago
15

Write a linear equation from the graph.

Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0
This was super close to getting it right.

The slope formula is m=(y2-y1)/(x2-x1) with m being the slope and (x1, y1) and (x2, y2) being points.

The points you are working with are (0,4) and (5, 1). When I calculate the slope, it doesn’t matter which y coordinate I use first, as long as I use the x coordinate from the same point first in the denominator.

I’m now going to calculate the slope:
m = (1-4)/(5-0) = -3/5
(5,1) is a point, and because I used 1 first up top I used 5 first on the bottom.

The y-intercept is right, as when x = 0, y = 4.

The equation of the line is y = -3/5x + 4
You can double check this by creating your own graph.
USPshnik [31]3 years ago
7 0

Answer:

x+y=4...........eq1

5x-y=1............eq2...

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In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

1452-\frac{1}{3}(1452)

Using 1452 as a common factor and solving the fraction:

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You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

968(\frac{2}{3})=\frac{1936}{3}

After 3 years:

\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}

The sequence is:

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In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

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For the first and second terms:

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For the second and third terms:

1936/3 ÷ 968 = 2/3

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a_{n}=ra_{n-1}

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