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VikaD [51]
2 years ago
9

Write the slope-intercept form of an equation that passes through the given points. (4,1),(8,2)

Mathematics
1 answer:
Talja [164]2 years ago
5 0

Answer:

y = 1/4x or y = 0.25x

Step-by-step explanation:

In this question, we are trying to write an equation with the given points.

To solve this question, we would use the slope formula: y2-y1/x2-x1

Find the slope by plugging in variables:

2-1/8-4

1/4 = m

The slope would be 1/4

Find the y intercept:

To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:

1 = 1/4(4) + b

Solve:

1 = 1/4(4) + b

1 = 1 + b

Subtract 1 from both sides

0 = b

This means that the y-intercept is 0.

Our equation will be: y = 1/4x

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3 years ago
The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line?
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Answer:

-4

Step-by-step explanation:

<em>Hey there!</em>

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3 years ago
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Suppose a city with population 300 comma 000 has been growing at a rate of 3​% per year. If this rate​ continues, find the popul
viktelen [127]

Answer:

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Step-by-step explanation:

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Suppose a city with population 300, 000 has been growing at a rate of 3​% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be A.

Population (P) = 300,000.

Rate per year (r) = 3%.

Time (t) = 13 years.

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A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.

Therefore, the population of this city in 13 years is 440,550.

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3 years ago
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