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Sedaia [141]
3 years ago
6

A line passes through the points (2, -4) and (6, 10). What is the equation of the line?

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0
The slope would be calculated as m = (y2 -y1)/(x2-x1)
So plugging in it would be m = (10- (-4))/(6-2) = 3.5
Then plugging into point slope form which is y - y1 = m(x - x1)
You would get y - 10 = 3.5(x-6) which simplifies is
Y = 3.5x -11
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Given that we have the change in temperature over 7 hours and we are looking for the change over 1 hour, we can divide the total change in temperature by 7. Thus, the change in temperature would be \frac{42}{7} C^{\circ}.


Additionally, this can be solved by equations:

\dfrac{42 \,\textrm{C}^{\circ}}{7 \,\textrm{hours}} = \dfrac{x \,\textrm{C}^{\circ}}{1 \,\textrm{hour}}

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By using two different methods, we can determine that the change each hour was equal to 42/7 C° per hour.

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