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Determine the equation of the line that passes through the points (7, 9) and (5, 6).

  1. y = -2x + 11

  2. y = 2x + 13

  3. y = -2x + 14

  4. y = 2x - 11

The correct answer is: y = -2x + 11

To determine the equation of a line, we need two pieces of information the slope and the y-intercept. In this problem, the two points given are (7, 9) and (5, 6). To find the slope, we use the formula (y2 - y1) / (x2 - x1). Plugging in the values, we get (6 - 9) / (5 - 7) = (-3) / (-2) = 3/2. Now, we can plug the slope into the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept. We can use either of the given points to find the y-intercept. Let's use (7, 9). Plugging in the values, we get 9 = (