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Find the equation of the line passing through the points (3,-2) and (8,4).

  1. y = 3/5x + 2

  2. y = 2/5x + 3

  3. y = 5/2x + 4

  4. y = 5/3x - 2

The correct answer is: y = 2/5x + 3

The correct equation is y = 2/5x + 3. This can be determined by using the slope formula (m = (y2-y1)/(x2-x1)) and plugging in the coordinates of the two points given in the question. Option A, y = 3/5x + 2, has the incorrect slope and option C, y = 5/2x + 4, has the incorrect y-intercept. Option D, y = 5/3x - 2, has both the incorrect slope and y-intercept, making it the only incorrect equation.