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Find the slope of the line y=12x−143y = \frac{1}{2}x - \frac{14}{3}. Write your answer as an integer or as a simplified proper or improper fraction.

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Full solution

Q. Find the slope of the line y=12x−143y = \frac{1}{2}x - \frac{14}{3}. Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify Form of Equation: Identify the form of the equation.\newlineThe equation y=12x−143y = \frac{1}{2}x - \frac{14}{3} is in slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Determine Slope: Determine the slope from the equation.\newlineIn the equation y=12x−143y = \frac{1}{2}x - \frac{14}{3}, the coefficient of xx is 12\frac{1}{2}. This coefficient represents the slope of the line.
  3. Write Slope as Fraction: Write the slope as a simplified fraction.\newlineThe slope is already given as a simplified fraction, which is 12\frac{1}{2}.

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