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3 years ago

Find the equation of the line. Use exact numbers.

Mathematics

1 answer:

GarryVolchara [31]3 years ago

6 0

Answer:

y = $\frac{1}{2}$ x - 3

Step-by-step explanation:

Let the general equation of the line be y = ax + b

Note that the points (6,0) and (0,-3) lie on the line. That means, it should satisfy the equation of the line. We substitute the points on the equation of the line.

We would have:

$0 = 6a + b \hspace{25mm} ...(1)$

$-3 = a(0) + b \hspace{20mm} ....(2)$

From (2), we get: b = -3

From (1), we have -6a = b

Substituting b = -3, we get:

-6a = -3

⇒ a = 1/2

Therefore, the equation of the line would become: y = 1/2x - 3

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nlexa [21]

Answer:

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3 years ago

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yaroslaw [1]

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3 years ago

Which point on the unit circle corresponds to −π ?

Arada [10]

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3 years ago

Read 2 more answers

Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu

Murljashka [212]

Answer:

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Step-by-step explanation:

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$v(t)=\frac{d}{dt}(s(t))$

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$v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st$

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So, the value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

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