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What is the equation of the line with a slope of -5 and a y-intercept of 3?

  1. y = -5x + 3

  2. y = -5x - 3

  3. y = 5x - 3

  4. y = 5x + 3

The correct answer is: y = -5x - 3

This is because the equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is -5 and the y-intercept is 3, so the correct equation would be y = -5x - 3. Options C and D both have the incorrect slope or y-intercept, while option A has the correct slope but the incorrect y-intercept.