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What is the linear equation that describes the line that passes through the point (3, 2) and has a slope of 4?

  1. y = 4x - 2

  2. y = 4x + 2

  3. y = -4x - 2

  4. y = -4x + 2

The correct answer is: y = 4x + 2

The linear equation with a slope of 4 can be written in the form y = mx + b, where m is the slope and b is the y-intercept. The point-slope form of a line can also be used for this problem, y - y1 = m(x - x1), where x1 and y1 are the coordinates of the given point. In this case, x1 = 3 and y1 = 2. Option A has the incorrect y-intercept of -2, and option C has the incorrect slope of -4. Option D also has the incorrect slope and a y-intercept that does not pass through the given point. Therefore, option B is the only correct equation that satisfies the given criteria.