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question 11 (5 points) select the graph of the equation \\(y + x + 3 = …

Question

question 11 (5 points)
select the graph of the equation \\(y + x + 3 = 0\\).

Explanation:

Rewrite the equation

Using the Slope-Intercept Form knowledge point

$$ LATEXBLOCK0 $$

Identify slope and intercept

Using the Slope-Intercept Form knowledge point

$$ LATEXBLOCK1 $$

Find key graph points

Using the Graphing Linear Equations knowledge point

$$ LATEXBLOCK2 $$

Evaluate the options

Using the Graphing Linear Equations knowledge point

$$ LATEXBLOCK3 $$

Answer:

  • (A) Line passing through (0, -3) and (-3, 0) with slope -1 (Correct answer)
  • (B) Line passing through (0, -3) and (-1, 0) with slope -3
  • (C) Line passing through (0, 3) and (-3, 0) with slope 1
  • (D) Line passing through (0, -3) and (-1, 0) with slope -3