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What is the equation of the line with a slope of -2/3 and a point on the line with an x coordinate of 1?

  1. y = -2/3x + 1

  2. y = 2/3x + 1

  3. y = -2/3x - 1

  4. y = 2/3x - 1

The correct answer is: y = 2/3x - 1

The equation of a line is generally in the form of y = mx + b, where m is the slope and b is the y-intercept. Using this formula and the given information, we can deduce that the equation of the line must be y = -2/3x + b. In option A, the y-intercept would be incorrectly written as 1 instead of -1. In option B, the slope is incorrect as it should be -2/3 instead of 2/3. In option C, both the slope and y-intercept are incorrect. The correct equation should be y = -2/3x + b. Therefore, option D is the correct answer as it has both the correct slope and y-intercept values in the equation.