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QUESTION IMAGE

iii. \\(y = -x + 3\\)

Question

iii. \\(y = -x + 3\\)

Explanation:

Identify slope and y-intercept

Using the Slope-Intercept Form and Y-intercept knowledge points

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Find a second point

Using the Graphing Linear Equations knowledge point

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Draw the line

Using the Graphing Linear Equations knowledge point

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Answer:

To graph the equation \(y = -x + 3\):

  1. Plot the y-intercept at \((0, 3)\).
  2. Use the slope \(m = -1\) (go down 1 unit and right 1 unit) to plot a second point at \((1, 2)\).
  3. Draw a straight line passing through both points.