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What is the slope of the line described by the equation y = 5x + 3?

  1. 5

  2. 1/5

  3. 3

  4. -3

The correct answer is: 5

The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line. In the equation given, the coefficient of x is 5, which represents the vertical change or rise. The horizontal change or run is always considered to be 1. Therefore, the slope of the line is 5/1 or simply 5. Option B 1/5 is incorrect because it represents the inverse or reciprocal of the actual slope value. Option C: 3 is incorrect because it is the y-intercept of the line, not the slope. Option D: -3 is incorrect because it only represents the coefficient of the constant term, not the slope.