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H. Goes through (-3, -2) and parallel to y = 5 x +5

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Answer: y = 5x + 13

Explanation:

Parallel means it has the same slope.

Given line y = 5x + 5 --> the slope is 5, so parallel slope is 5

Use the Point-Slope formula: y - y₁ = m(x - x₁) such that

  • m = 5
  • (x₁, y₁) = (-3, -2)

y + 2 = 5(x + 3) input m and (x₁, y₁) into the Point-Slope formula

y + 2 = 5x + 15 distributed

y = 5x + 13 subtracted 2 from both sides

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