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choose the slope-intercept form of \\(y + 3 = 4(x - 5)\\) \\(y = 4x - 8…

Question

choose the slope-intercept form of \\(y + 3 = 4(x - 5)\\)

\\(y = 4x - 8\\)
\\(y = 4x + 2\\)
\\(y = 4x + 17\\)
\\(y = 4x - 23\\)

Explanation:

Distribute the constant on the right side

$$ y + 3 = 4x - 20 $$

Isolate y to obtain slope-intercept form

$$ y = 4x - 20 - 3 $$

Simplify the constant terms

$$ y = 4x - 23 $$

Answer:

  • (A) \(y = 4x - 8\)
  • (B) \(y = 4x + 2\)
  • (C) \(y = 4x + 17\)
  • (D) \(y = 4x - 23\) (Correct answer)