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What is the equation of the line passing through (3, 6) and (1, 5)?

  1. y = 3x + 5

  2. y = 3x - 3

  3. y = 2x + 5

  4. y = 3x + 7

The correct answer is: y = 2x + 5

To find the equation of a line, we use the formula y = mx + b. In this question, we are given two points on the line: (3, 6) and (1, 5). Using the formula, we can calculate the slope, m, by finding the difference in y-coordinates over the difference in x-coordinates. So, m = (6-5)/(3-1) = 1/2. To find the y-intercept, b, we can substitute one of the given points into the formula. We'll use (3, 6): 6 = (1/2)(3) + b b = 6 - 3/2 = 3/2. Therefore, the equation of the line passing through (3, 6) and (1, 5)