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3 years ago

What is an equation of the line that passes through the point (- 5, - 6) and is parallel to the line 4x - 5y = 35

Mathematics

1 answer:

Elena L [17]3 years ago

7 0

Answer:

4x - 5y = 10

Step-by-step explanation:

Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.

Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:

4(-5) - 5(-6) = C, or

-20 + 30 = C. Thus, C = 10, and the equation of the new line is

4x - 5y = 10

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