2 years ago

The graph shown below expresses a radical function that can be written in

Mathematics

1 answer:

Naddika [18.5K]2 years ago

6 0

Answer:

the graph shows that the correct answer is going to be C because it makes the most sense

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Vlad1618 [11]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

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Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

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Therefore

$m_2=-\dfrac{-\frac{2}{5}}=\dfac{5}{2}$

We have the equation of a line:

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Put the coordinates of the point (5, 1) to the equation of a line:

$1=\dfrac{5}{2}(5)+b$

$1=\dfrac{25}{2}+b$ subtract $\dfrac{25}{2}$ from both sides

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Answer: $\boxed{y=\dfrac{5}{2}x+\dfrac{23}{2}}$

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