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6. graph the equation \\(y = \\frac{1}{4}x\\).

Question

  1. graph the equation \\(y = \frac{1}{4}x\\).

Explanation:

Identify the y-intercept and slope

$$ LATEXBLOCK0 $$

Determine a second point on the line

$$ LATEXBLOCK1 $$

Draw the line through the plotted points

$$ \text{Line passing through } (0, 0) \text{ and } (4, 1) $$

Answer:

To graph the equation \(y = \frac{1}{4}x\):

  1. Plot the y-intercept at the origin \((0, 0)\).
  2. Use the slope \(m = \frac{1}{4}\) (rise 1, run 4) to find a second point at \((4, 1)\).
  3. Draw a straight line passing through both points \((0, 0)\) and \((4, 1)\).