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max2010maxim [7]
3 years ago
15

Write the equation of the line in fully simplified slope-intercept form.​

Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

y = -\frac{1}{5}x -1

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

(x_1,y_1) = (-5,0)

(x_2,y_2) = (0,-1)

Next, calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-1-0}{0 -(-5)}

m = \frac{-1}{0 +5}

m = -\frac{1}{5}

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -\frac{1}{5}(x - (-5)) + 0

y = -\frac{1}{5}(x +5)

Open bracket

y = -\frac{1}{5}x -1

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We are given:

Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\;  \times \; 10^4 \; bushels

Substituting the above information in the formula, we get...

The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\;   1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2\\ \\

Conclusion:

The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn

The average amount of corn produced per acre represented in scientific notation is option B)1.6 \times 10^2bushels per acre

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3 years ago
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Answer:

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