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Find the slope of the line y=−12x−53y = -\frac{1}{2}x - \frac{5}{3}. Write your answer as an integer or as a simplified proper or improper fraction.

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Slope-intercept form: find the slope and y-interceptright chevron icon

Full solution

Q. Find the slope of the line y=−12x−53y = -\frac{1}{2}x - \frac{5}{3}. Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify Form: Step 11: Identify the form of the equation.\newlineThe equation given is y=−12x−53y = -\frac{1}{2}x - \frac{5}{3}. This is in the slope-intercept form, which is y=mx+by = mx + b, where mm represents the slope and bb represents the y-intercept.
  2. Extract Slope: Step 22: Extract the slope from the equation.\newlineFrom y=−12x−53y = -\frac{1}{2}x - \frac{5}{3}, the coefficient of xx is −12-\frac{1}{2}. Therefore, the slope (mm) of the line is −12-\frac{1}{2}.

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