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Leto [7]
3 years ago
9

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

 

Rewrite the given equation in slope intercept form:

5 y = 10 – 2 x

y = - 0.4 x + 2

 

Since the two lines are parallel, therefore they have similar slope which is – 0.4, so the equation is:

y = - 0.4 x + b

Given that x = 5, y = -4, find for b:

-4 = - 0.4 (5) + b

b = -2

 

So the answer is:

y = - 0.4 x – 2

or

<span>2 x + 5 y = - 10</span>

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