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timurjin [86]
3 years ago
6

!!!URGENT!!!

Mathematics
1 answer:
suter [353]3 years ago
5 0

Use the slope formula y2-y1/x2-x1

3-(-7)/1-(-1) = 10/2 = 5

To find the y-intercept:

y=5x+b

3=5(1)+b

3 = 5+b

-5  -5

-2=b

The equation of the line that passes through (-1,-7) and (1,3) is

y=5x-2

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\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}
\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}

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