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3 years ago

A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form

Mathematics

1 answer:

LiRa [457]3 years ago

3 0

Answer: y = ½x - 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope = $\frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{3-2}{10-8} =\frac{1}{2}$
b = y-intercept ⇒ Substitute in a given point to the function to find b

y = ½x + b

2 = ½(8) + b

2 = 8/2 + b

2 = 4 + b

2 - 4 = b

b = -2

y = ½x - 2

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3 years ago

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Step-by-step explanation:

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Answer:

The answer is "$238".

Step-by-step explanation:

Current worth $= \$ 17,000$

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time= 19 years

depreciates rate=?

Using formula:

$\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}$

$\to A_t=A_0(1-\frac{r}{100})^t$

calculates depreciate value in 3 year $= \frac{1}{2} \times 17,000$

$= 8,500$

so,

$A_t=8,500\\\\A_0=17,000\\\\t=3\ years$

$\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%$

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$\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}$

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