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Find the slope of the line y=−43x+3y = -\frac{4}{3}x + 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=−43x+3y = -\frac{4}{3}x + 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=−43x+3y = -\frac{4}{3}x + 3 is in the slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Compare with Slope-Intercept Form: Compare the given equation with the slope-intercept form.\newlineThe given equation y=−43x+3y = -\frac{4}{3}x + 3 can be compared to y=mx+by = mx + b to find the slope (m)(m).
  3. Determine the Slope: Determine the slope.\newlineFrom the equation y=−43x+3y = -\frac{4}{3}x + 3, the coefficient of xx is −43-\frac{4}{3}. This coefficient represents the slope of the line.

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