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What is the slope intercept form of the equation y = 2x + 5?

  1. y + 5 = 2x

  2. y - 5 = 2x

  3. y = 2x + 5

  4. y = 2x - 5

The correct answer is: y = 2x + 5

The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept. In the given equation, y = 2x + 5, the coefficient of x is 2, which is the slope. And the constant term, 5, is the y-intercept. The other options are incorrect because they either have the wrong slope or the wrong y-intercept. Option A has a positive slope but the y-intercept is incorrect. Option B has the correct y-intercept but the slope is incorrect. Option D has both the slope and y-intercept incorrect. Therefore, the correct answer is C, y = 2x + 5.