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Find the equation of the line through (3,4) and (1,2).

  1. y = -2x - 1

  2. y = -2x + 1

  3. y = 2x - 1

  4. y = 2x + 1

The correct answer is: y = 2x + 1

To find the equation of a line, we can use the slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept. First, we need to find the slope using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points. In this case, we have (x1,y1) = (3,4) and (x2, y2) = (1,2). Substituting these values into the formula, we get: m = (2-4) / (1-3) = -2/-2 = 1. Next, we can choose any of the given points and substitute them into the