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3 years ago

7 Find the slope of the line that passes

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

3 0

Answer:

y=1.6x+7.2

Step-by-step explanation:

First you want to find m or the slope so use the formula m=y2-y1/x2-x1 and you get your slope which is 1.6.

Then you plug in your slope to the equation including another coordinate or example (3,12) plugged in to make 12=1.6(3)+b. Now you can solve for b.

Once you do that you get b=7.2

So now with m=1.6 and b=7.2, you can finally make the equation.

y=1.6x+7.2

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Hence the apparent brightness of Alpha Centauri A is

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$\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}$

Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.

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