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Which equation will be parallel to y=6 A)Y= -6x B)X=6 C)y=1 D)Y=6x

1 Answer

6 votes

Answer:

C) y = 1

General Formulas and Concepts:

Algebra I

  • y = b lines have a slope of 0
  • Parallel Lines - Lines that have the same slope but different y-intercepts. They never intersect.

Explanation:

We are given the line y = 6, a horizontal line with a slope of 0.

According to the answer choices, we need to find an equation of a line that also has a slope of 0.

A, B, and D are all incorrect, as they have a different slopes than the original line (Slope of -6, undefined, and 6 respectively).

Therefore, our only option is C, which is the correct answer.

y = 1 has the same slope, a slope of 0. However, it has a different y-intercept, a y-intercept of 1 compared to the original y-intercept 6. They are parallel and will never intersect.

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