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natka813 [3]
2 years ago
7

What is the equation of the line that passes through the point (-6,3) and has a slope of −4/3?

Mathematics
1 answer:
marin [14]2 years ago
6 0

Answer:

y =  -  \frac{4}{3} x - 5

Step-by-step explanation:

The standard form for the equation of a line is

y = mx + c

We were told that

y = 3 \:  \:  \: x =  - 6 \:  \:  \: m =  -  \frac{4}{3}

*Note m is the slope*

Therefore

y =  mx + c \\ 3 = -  \frac{4}{3} (- 6) + c \\ 3= 8 + c \\ 3 - 8= c \\  - 5 = c

So the answer is

y =  -  \frac{4}{3} x - 5

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