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Line c has an equation of y = 1/5x - 3. Line d, which is parallel to line c, includes the point (-1, 1)....

Line c has an equation of y = 1/5x - 3. Line d, which is parallel to line c, includes the point (-1, 1). What is the equation of line d?

Answer

Since line d is parallel to line c, it will have the same slope. The slope of line c is 1/5. Using the point-slope form of a line equation, y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point (-1, 1):

  1. Substitute the values: y - 1 = 1/5(x + 1).
  2. Simplify the equation: y - 1 = 1/5x + 1/5.
  3. Add 1 to both sides: y = 1/5x + 1/5 + 1.
  4. Combine like terms: y = 1/5x + 6/5.

The equation of line d is y = 1/5x + 6/5.

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