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What is the slope of a line parallel to the line whose equation is 5x-6y=30

1 Answer

2 votes

Answer:

5/6

Explanation:

Since parallel lines have the same slope, just find the slope of this equation: 5x-6y=30

In order to find the slope, solve for y:

5x-6y=30

5x=30+6y ==> add 6y on both sides so that y is positive

5x-30=6y ==> isolate y by subtracting 30 on both sides

y=(5x-30)/6 ==> isolate y by dividing both sides by 6

y=5x/6 - 30/6 ==> divide each term in the parantheses by 6

y=5x/6 - 5 ==> simplify

y=x * 5/6 - 5 ==> Hence, the coefficient of x is 5/6

The slope is 5/6.

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