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Determine which lines are either Parallel Line a: y=-(1)/(3)x+1 Line b: y=-3x-5 Line c:y=3x-6

User Ofaurax
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Final answer:

Line a and Line c are parallel because they have the same slope of 3, while Line b is not parallel.

Step-by-step explanation:

Three lines are given:

a. Line a: y=-(1)/(3)x+1

b. Line b: y=-3x-5

c. Line c: y=3x-6

To determine which lines are parallel to each other, we need to compare their slopes. The slope of a line can be found by looking at the coefficient of x in the equation.

The slope of Line a is -(1/3), the slope of Line b is -3, and the slope of Line c is 3. Two lines are parallel if their slopes are equal.

So, Line a and Line c are parallel to each other because they have the same slope, which is 3. Line b is not parallel to either Line a or Line c since its slope is different.

User Kjohri
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