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sdas [7]
2 years ago
10

What is the equation of a line parallel to -x+3y=-6 that passes through 9,-1

Mathematics
1 answer:
Natali [406]2 years ago
5 0

Answer:

{ \tt{ - x + 3y =  - 6}} \\ { \tt{3y = x - 6}} \\ { \tt{y =  \frac{1}{3}x - 2 }}

• For parallel line, their gradients are the same:

→ m = ⅓

• From general equation of a line;

→ \: { \tt{y = mx + c}} \\

• For the point (9, -1):

→ \: { \tt{ - 1 = (9 \times  \frac{1}{3} ) + c}} \\  \\→ \:  { \tt{ - 1 = 3 + c}} \\  \\ → \: { \tt{c =  - 4}}

therefore:

→ \: { \boxed{ \tt{y =  \frac{1}{3}x - 4 }}}

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9514 1404 393

Answer:

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