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Find the slope of the line y=23x+32y = \frac{2}{3}x + \frac{3}{2}. 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=23x+32y = \frac{2}{3}x + \frac{3}{2}. Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify Form: Identify the form of the equation.\newlineThe equation y=23x+32y = \frac{2}{3}x + \frac{3}{2} 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 Form: Compare the given equation with the slope-intercept form.\newlineThe given equation y=23x+32y = \frac{2}{3}x + \frac{3}{2} can be compared to y=mx+by = mx + b to find the slope (m)(m).
  3. Determine Slope: Determine the slope.\newlineFrom the equation y=23x+32y = \frac{2}{3}x + \frac{3}{2}, the coefficient of xx is 23\frac{2}{3}, which is the slope of the line.

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