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What is the equation of the line in slope-intercept form that passes through point (0, -2) and is parallel to the line y = -1/2x + 6? Show all necessary steps.

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mhanifa

Answer:

  • y = - 1/2x - 2

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Parallel lines have equal slopes.

Given line:

  • y = - 1/2x + 6

Parallel line has a slope of - 1/2 and passes through point (0, -2).

Use point-slope equation y - y₁ = m(x - x₁) and convert to slope-intercept form of y = mx + b, here m is the slope and (x₁, y₁) is the point on the line:

  • y - (-2) = - 1/2(x - 0)
  • y + 2 = - 1/2x
  • y = - 1/2x - 2

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