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Math Asked by a SnapAndSolve user · about 2 hours ago

Graph this line: y + 3 = -1/3(x - 1) Click to select points on the graph.

Graph this line:
y + 3 = -1/3(x - 1)
Click to select points on the graph.

Answer

To graph the line, first rewrite the equation in slope-intercept form (y = mx + b):

  1. Start with the given equation: y + 3 = -1/3(x - 1).
  2. Distribute the -1/3: y + 3 = -1/3 * x + 1/3.
  3. Subtract 3 from both sides: y = -1/3 * x + 1/3 - 3.
  4. Simplify: y = -1/3 * x - 8/3.

The slope (m) is -1/3 and the y-intercept (b) is -8/3.

To plot the line:

  1. Start at the y-intercept (0, -8/3).
  2. Use the slope to find another point: from (0, -8/3), move down 1 unit and right 3 units to (3, -11/3).
  3. Draw the line through these points.

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