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What is the slope of the line described by the equation 2y - 3x = 5?

  1. -2

  2. -3

  3. 2

  4. 3

The correct answer is: 3

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In the given equation, if we rearrange it to the slope-intercept form, we get y = (3/2)x + 5/2. Therefore, the slope of the line is 3/2. The other options, -2, -3, and 2 are incorrect gradient values because they do not correspond to the slope of the given equation. It is important to note that the slope of a line is represented by the coefficient of the x-term in the slope-intercept form of a linear equation.