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Vilka [71]
3 years ago
15

Write the equation of the line that passes through (3,6) and is parallel to y = 2/3x+2.

Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

y=\frac{2}{5}x-5

Step-by-step explanation:

y=\frac{2}{3}x+4

the line parallel  to this line is

y=\frac{2}{3}x+k ; k ∈ R

the line passes through the point (3,6)

so,

6=\frac{2}{3} (3)+k\\6=2 +k\\k=4

∴the line that passes through point (2, -1) and is parallel to the line described y = (2/3)x - 6 is

y=\frac{2}{3}x+4

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