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Furkat [3]
2 years ago
7

What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)?

Mathematics
1 answer:
ElenaW [278]2 years ago
3 0

Answer:

The answer is

<h2>y = -2/3x - 10/3</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

y = -2/3x + 4

Comparing with the above formula

m / slope = - 2/3

Since the lines are parallel their slope are also the same

Thus

Slope of the parallel line = -2/3

Equation of the line using point ( - 2 , - 2) is

y + 2 =  -  \frac{2}{3} (x + 2)

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

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

We have the final answer as

y =  -  \frac{2}{3} x -  \frac{10}{3}

Hope this helps you

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