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What is the equation of the line that passes through the points (5, -3) and (4, 2)?

  1. 3x = y + 11

  2. y = -3x + 11

  3. -3x + 11 = y

  4. 3x + 11 = y

The correct answer is: -3x + 11 = y

The correct equation for the line passing through the given points is y = -5x + 17. Option A 3x = y + 11 - This equation does not correctly represent the slope-intercept form of a line, y = mx + b, as the y-intercept is incorrect. In addition, the slope is different from the one obtained when solving for the slope using the given points. Option B: y = -3x + 11 - This equation is not correct as the slope is incorrect. When solving for the slope using the given points, the result is a slope of -5, not -3. Option C: -3x + 11 = y - This is the correct equation for the line passing through the given points. The slope can be represented as -3 over 1, or in simplest form, -5. The