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romanna [79]
3 years ago
15

Write the equation of the line that has a slope of 2/3 and passes through (0,-7).

Mathematics
1 answer:
likoan [24]3 years ago
6 0
The equation of the line is (slope-intercept) y=\frac{2}{3}x+(-7) or (standard form) \frac{-2}{3}x+y=-7
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Use Cramer’s Rule to solve system of equation.
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W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6

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Step-by-step explanation:

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